{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <div align=\"center\">一元: 残差分析(Residuals Analysis)</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 576x396 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import os\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.formula.api as smf\n",
    "import seaborn as sns\n",
    "\n",
    "from scipy import stats\n",
    "\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "    \n",
    "%matplotlib inline\n",
    "\n",
    "plt.style.use('seaborn')\n",
    "\n",
    "# 调整子图之间的间隔\n",
    "plt.tight_layout(pad = 3);\n",
    "plt.rc('font', size=14)\n",
    "plt.rc('figure', titlesize=18)\n",
    "plt.rc('axes', labelsize=15)\n",
    "plt.rc('axes', titlesize=18)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "样本数量:  50\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "db = '/home/lidong/Datasets/'\n",
    "\n",
    "alcoholarm_df = pd.read_csv(os.path.join(db, 'Statistics/alcoholarm.txt'), sep='\\s')\n",
    "alcoholarm_df.plot.scatter(x=\"alcohol\", y=\"strength\")\n",
    "n = alcoholarm_df.index.size\n",
    "print(\"样本数量: \", n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "model_result.resid(残差) type: <class 'pandas.core.series.Series'>\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f428782cbe0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 从拟合模型中取出残差数据\n",
    "model_result = smf.ols(\"strength ~ alcohol\", data=alcoholarm_df).fit()\n",
    "print(\"model_result.resid(残差) type:\", type(model_result.resid))\n",
    "model_result.resid.plot.density()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>        <td>strength</td>     <th>  R-squared:         </th> <td>   0.412</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th> <td>   0.399</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   33.59</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Mon, 24 Dec 2018</td> <th>  Prob (F-statistic):</th> <td>5.14e-07</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>22:47:08</td>     <th>  Log-Likelihood:    </th> <td> -137.64</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>    50</td>      <th>  AIC:               </th> <td>   279.3</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>    48</td>      <th>  BIC:               </th> <td>   283.1</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     1</td>      <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "      <td></td>         <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Intercept</th> <td>   26.3695</td> <td>    1.203</td> <td>   21.925</td> <td> 0.000</td> <td>   23.951</td> <td>   28.788</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>alcohol</th>   <td>   -0.2959</td> <td>    0.051</td> <td>   -5.796</td> <td> 0.000</td> <td>   -0.399</td> <td>   -0.193</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td> 0.297</td> <th>  Durbin-Watson:     </th> <td>   0.619</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.862</td> <th>  Jarque-Bera (JB):  </th> <td>   0.481</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td> 0.042</td> <th>  Prob(JB):          </th> <td>   0.786</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 2.527</td> <th>  Cond. No.          </th> <td>    51.8</td>\n",
       "</tr>\n",
       "</table><br/><br/>Warnings:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:               strength   R-squared:                       0.412\n",
       "Model:                            OLS   Adj. R-squared:                  0.399\n",
       "Method:                 Least Squares   F-statistic:                     33.59\n",
       "Date:                Mon, 24 Dec 2018   Prob (F-statistic):           5.14e-07\n",
       "Time:                        22:47:08   Log-Likelihood:                -137.64\n",
       "No. Observations:                  50   AIC:                             279.3\n",
       "Df Residuals:                      48   BIC:                             283.1\n",
       "Df Model:                           1                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "==============================================================================\n",
       "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "Intercept     26.3695      1.203     21.925      0.000      23.951      28.788\n",
       "alcohol       -0.2959      0.051     -5.796      0.000      -0.399      -0.193\n",
       "==============================================================================\n",
       "Omnibus:                        0.297   Durbin-Watson:                   0.619\n",
       "Prob(Omnibus):                  0.862   Jarque-Bera (JB):                0.481\n",
       "Skew:                           0.042   Prob(JB):                        0.786\n",
       "Kurtosis:                       2.527   Cond. No.                         51.8\n",
       "==============================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_result.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "# model_result.model.exog, exog_idx = 0 is constant '1'\n",
    "sm.graphics.plot_regress_exog(model_result, exog_idx=1, fig = fig);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0   -1.460897\n",
      "1   -1.193573\n",
      "2   -1.002329\n",
      "dtype: float64\n",
      "[-1.50701065 -1.2449952  -1.04477667]\n",
      "leverage:  [0.02970148 0.02060992 0.05199981]\n",
      "cook's distance:  [0.03815472 0.04007376 0.05456348]\n"
     ]
    }
   ],
   "source": [
    "# 估计值\n",
    "x = model_result.fittedvalues \n",
    "# 残差值\n",
    "y = model_result.resid\n",
    "# 残差平方和\n",
    "sse = np.sum(np.power(model_result.resid, 2))\n",
    "# 均方残差\n",
    "mse = sse/(n - model_result.df_model - 1)\n",
    "# 估计标准误差\n",
    "s_e = np.sqrt(mse)\n",
    "# 标准化残差 studentized residuals, why not equal != resid_studentized_internal\n",
    "z_e1 = model_result.resid / s_e\n",
    "z_e2 = model_result.get_influence().resid_studentized_internal\n",
    "print(z_e1[:3])\n",
    "print(z_e2[:3])\n",
    "\n",
    "x1 = model_result.model.exog.T[1]\n",
    "\n",
    "# absolute squared normalized residuals\n",
    "y1 = np.sqrt(np.abs(z_e2))\n",
    "\n",
    "# leverage, from statsmodels internals\n",
    "model_leverage = model_result.get_influence().hat_matrix_diag\n",
    "print(\"leverage: \",model_leverage[-3:])\n",
    "\n",
    "# cook's distance, from statsmodels internals\n",
    "model_cooks = model_result.get_influence().cooks_distance[0]\n",
    "print(\"cook's distance: \", model_cooks[-3:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Residuals vs Leverage')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAyEAAARMCAYAAACOI5z5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XmcW1X9//FXO22nhS4M7YBo0WrrfFQ2K1VBFLAWFQXl90WsoLiwKAoKKIigfgFRXFBRwQURBBcEQcDigohQRAT8glUE8VMLoqx22g5daDttp/P749y0aZpkkkxyt7yfj0cfndwkN5+7nXPPuWcZMTg4iIiIiIiISFxGJh2AiIiIiIi0FxVCREREREQkViqEiIiIiIhIrFQIERERERGRWKkQIiIiIiIisVIhREREREREYjUq6QAkvczsMuA9Zd7qB/4L3Ayc4e7/bdHvzwemufu0Znyu1XGkjZlNA/41xMe+7u4nmdl7ge8Dr3X3+UXreIG7P9yEWB4BnleyeABYDtwNnOPud5bEfba7n9XAbzUlZpF2pzwgnvW3ipntD9xa5q11wOPAPEI629fiOM4CzgSe7+6PVMpvalxXy9N3Mys3d8UGYBlwG3Cmuz8YfXZ/wj5+n7tf1sBvtXV+pUKI1OJkYEnR64nAHOAoYJaZvdzd17Xgdz8HbNuC9bab24HvVnjvwej/3wNHFr3GzH4DPAm8t0lxLCGcSwUdwLOADwPzzWz/QkGkUWb2KUK8M4azHhHZgvKAbLsOuLbodScwi5D27mtmr3D3DTHGs1V+U4sW5EnV/INw/hWMAqYBHwFeb2YvG27hwcwuAnqA1w5nPVmmQojU4np3f6Rk2bfM7FvAB4FDgJ82+0fd/bfNXmebetjdf1TtA1FiWpqgvh64vIlxPFMuDjP7BfA3Qk3ZG4f5G3NQuibSbMoDsu2+MmnvJWa2Avg48DbgyriCqZDf1KLZeVI1/62QX90N/Iqw344b5m+8AXhkmOvINPUJkeEoJAZ7JRqFZJq7PwDcD7wq6VhEpC7KA7Ltquh/pb01cvdfAyvQPmsK1RjKcDwT/T+ieKGZHQScAbyU0Hb4FuB0d19Y9JnnAucTLuQuQq3IZcCX3X1j9Jn5lLTDNbM5wGeAPQiPZU8vDapS+90K6zsMOCGKdRyhnezVwKfdvb/cRptZJ/BF4C3Ac4DFhLa1n6rUttbM5hJqmg5192tL3psP7Ozu081sBPBp4J2EPhTLgZsI7a4fLbfuZihuo0uomSn0JXmPmb2HqO2ume0HnAPsTkg//gp8wd1vGGYIGxkiPTKzownNB14ErCTsl08WamiL+51EbXob6lMiIjVTHpDtPGBj9P+oKI6zgE8AhwPfJjSFO8ndLzGzLsJ+/x9gCuF4fQf4hrtv6kNhZtOBLwGzCf0ovg1s0ceiXJ8QMxtDOGfeCUwFHgUuAb4M7EzlPKkD+ChwDKG51FLg54TjtyRa9/6EfhvvBU4BXghc4e5HNbbbqudXNcZU2CfPi/5uqE9J1ulJiAxHoenMgsKCKHGZR8icPg58FdgbuNvMeqLPjAZuBPaM3v8w4IRE/ROVfizKfH4NTAI+RXj8/33gZY0Eb2bHROt4GjiNkDj9GziVcKNdyYXAsYQM5UPANcD72VyrVM48wo3z20ti2Al4DXBFtOgMQrOkG4HjgYsJTR1uihK2RnSa2ZQy/8ZX+Hwvob0uhP4kRwIPmpkBvyTccJxB2GfbAj83s1c3GBtm9hxCweLPVT5zHvA9Qrv0U6O/3wr8KerIDnASoR3vkijma7dek4g0kfKAbOQBlbwu+r847R0NXEQoIH4Z+IOZbcvmfhyXE9La+4GvEfZFYVt2BP5IKICcTyiMHAmcWEMs1xO2+25CH6Q7gC8A51EhT4peXxn9zv3R964h3PzfYWbblfzGN4H5hPNyXg0xbcXM9gS2o0p+VWNMRxLyqn9Ef/++kXiyTk9CpBZdZraq6PUkQlvGswgJwU8AzGwi8HXgKnc/vPBhM7sY+Dshg/l/wEzgxcBh7n5N9JnvETIXqxLHFwg1X3u7+4roe78l1LIta2C7PgbcCRxSqMmJ2jj/i5C5frzC994JXOruZxRt4yrgjWY23t1XlX7B3deY2XXAoWY2zt3XRG8dRqgM+HHRun/t7psSbTN7lNDuehrwUAPb+Y7oX6nLKdPBz92fAX5kZj+kqD9JVPu0LfD/impzriRkOjOBPwwRx0gzm1L0ehvgJcC5hI6S55X7kpm9hHCsriPUIhaO1fWE4/cl4O3ufr2ZnQSMG6oPjIjURXnAlrKWB2xTkvbuABxAOH6PsmV/kJHAV9z9i0W/fxahA/Usd/9btPjbZnYucLqZfdfd/0oovHVHn/tz9N3LCTfjFZnZgcCBhCfb50aLvxMVVo8HPuPu5fKkNxL6s3zd3U8qWt/thMLlGWx5DG939w9Xi6XI6JJ9NpFw3n6J8ITn/ArbUlNM0fZ8lgp9T9qFCiFSi3Il/tWEx4sfdvf10bIDCBfq9SUX7wZCJvEmMxsFPEF4PHuGma0Ebo1GVqnYKdnMdiDUmn2pkPkAuPutZnYfIVOs1+7AtsWPkgmJcx9Q6SkBwGPAXDO7h9Bh82l3/zThEXo1PwbeDbwJ+Fm07B3An939H0Xrfq2ZnQhc6e7/dfeLCDVTjbqJ8jf4T9S5nsei/y80s/Pc/V53X0r1m4ZiOxNqtEotBj7g7j+v8L2DCE9fvlB8rNz9bjO7CXizmY2KeXQXkXaiPGBLWcsDTo3+lboTOLpMoam0Vv5QQkHiyZLjej2hOdxBhKa5BwL/VyiAALj7YjP7CWFUqUoOIjRxurBk+SmEEapWVvjeW6L/P1+80N2vNjMnPC0vLoTU87ThVZTPr/5NKDzf26SY2poKIVKLdxHGhB9NSGSOJ5ToP+jua4s+Nz36v9ooG93u/piZfZxwkd4IrDKz3xEeZf/U3QfKfK8wx0S5WqB/AK+sdWMK3H29mc0ys8MJzYFmEDIgCAlNJR9kczOAi83sTkIt/aXuvrzK935H2I+HAT+L2kTvxZaZwynADYTH3Oeb2b2Ex8YXu/tT9W5j5El3v7nB7xa7mlCLOZeQAT9JGCXkcne/vYbv/5dwLhWsJxRAvNAGvILnR/97mfceJNTITgEa3T8iUp3ygC1lLQ/4IfCD6O9BQgHyYa88v8viktfTCf1lyt2UAzw3+n8aoWBa6h9llhWbBiwuLlwCRNtbbZufDzxdYTseJJyrxUq3q5r7CE/KCvoJeemiIb5Xb0xtTYUQqcUdvnl4xl+b2T+BbwDbm9mmx9iEeR8gtI2tNEleH4C7f9nMriB0cnsTYei9txJqicpdpIXfGFfmvVr7Nm3RntbMLiB0SFxAqBH6IaFp0YVsTlS34u6/izKPgwk1OK8ntGs+2cz2dPeyCbW7D5jZVcDRZjaO0DZ4kKgpQ/SZ+8zshYQawYOj/z8DfMzM9iqqLYtdVNt5mJntRjhuBwLvI2zP6e7+hSFWsbbBwtCIKu8Vjn0r5igQkUB5QJEM5gEP15n2lhYCOwjNbc+u8PnCU/VBGjs+HZR0Xq/RUHlDab5QrnBbSV+L8ivlVUVUCJG6ufsFZvY6QoZxEpvbRj4S/d9bevGa2WsI51u/mU0itK28090vJDTv2ZYwMsrbzGy3onanBY8QEqkXlgnpBSWvBwh9DEo9qyie5xEynx+6+7tLYn1W6ReL3htDGJXlCXe/ErjSzEYSRsI4j/Bo/YJK3yc8jv8IodnC24H57v5EtO4OYDdglbvPI+o4Z2ZvJ9QQHsuWNTOxijqQT3P3OwjzepxtZlMJzSxOJbTXboVHov9fROi0uEVYhA6wLZ3xV0Q2Ux7QdnnAI8CEMsd0O8KIioVR0h6mtuNT6j/AAaX9aczsZYTt/Zy7/71CXG8wsx3LPHkwQn+XuD1C+mJKLY2OJY36AOHG77NmVmgu81tgLXBq1KEM2DT6xw2EtryDhMT3VkItD7CpM3Sh89pWtRVRR+jfA++yMAJHYd17s/XIKE8BO5jZs4s+tydbzqK9ffT/Fgmbmb2JkIhWKqB3AXdRNCxk1JTo/yrFXrIdfwIWEWoKX87mzogQrsdbCY/hixVuvOupxWmGjWyZRpwO3BIVRgBw98cIQ1q2MrbC8L+nWRi+EtiUQR0A/LKoJnYApWsicVAesDm2vOYBBfOAPczszSXLTyeMQrhr9PpaYJeoczYAUYHzSKr7FWHbjy1Z/kFC899Ck6zSPKmQN2wxTLOZHUK44f/FEL/bCvXE1Pb5lZ6ESEPc/b9mdhrwXcJY4W9w9yVmdgbhsfSdZvZjwmPWDxEe0Z4Sff2XhLaRl0QZwyJCLfcJwO8q1HhAqBG5HbjLzL5JGKnpZMIwd8V+AhxBaDbwbWBHwhCQ/wTGRJ/5O6H25QwzG0voDPgKQttnB3aqst0/AD4U1dz9EZgcxf5faps1+MeEoQj72dw5sdA++WvAWRZGUbmRMILU+wlteC8tfNbM3kUYVaOVMwr3Avub2bHAb4BvEZpf/d7MLiLcgMwG9gf+t1VBuPsDZvYNQu3hby2MirUT4Zj2seWQnr3Afmb2MeAP7l765EREmkB5QFvkAQWfJ3ROv9bMvgM8QBh2+b2EEc1+HX3uK4TRva6NtmMxobBarYkShELOTcBXzGwXQoHuVYSmeZ9x98LIZ6V50q8IfVBOLHoq30MovDxMSefwmNQTUy+hcPdB4LYq531utXUJTIbte4R2oq83s3cDuPv5hEfMGwijWpxOyGBmu/tt0WfWEDoTX0tIsL4VfedbhPbBZUWjUexHuJDPIoy7fSahs1/x535B6Dg5jjBc5NsICcBNRZ/pJ7RDvpPQnOCrhNGb9ic0LZgYZY7lfJAwhvyrCO2iTyGMaf7qqLZuKIWar1+W6cR4DiFTnUFI0M+MtnffkrbAPwQ+WcNvDcdphI6oFwD7RQnkHEJGfkq0fBdC5v7ZFsdyEuGY7kjYL0cTOoLu6e7Fbc+/BCwkJPSNTkQlIrVRHpDvPACAqBCwN6G53GGEbd4nivVthYFF3H0lYc6TawiFj7OA2wjDsFdb/0ZC074vEJ6SfR2YRTiGxf1QSvOkwSieTxOayJ1PKCx9F3i5uz89rA1vQJ0xnUmoSPsaYdCXtjNicLCRvkAiIiIiIiKN0ZMQERERERGJlQohIiIiIiISKxVCREREREQkViqEiIiIiIhIrNpmiN7e3pU198Dv6tqGvr7VrQwndtqmbNA2pV/etgfCNo0a1THUMJpSRj15SzOl+TxMc2yQ7vgUW2MUW+NaHV9394SKeUtmCyHRDKXfI0z+shE4tmT4uoaNGtXRjNWkirYpG7RN6Ze37YF8blOjWpm3NFOaj1maY4N0x6fYGqPYGpdkfFlujvV6YLy77wN8hjAeuYiIyHAobxERiUGWCyFrgUlRrdVEYH3C8YiISPYpbxERiUFmJys0s1GEWVJ3AqYAB7n7Hyt9fsOGgcG0PxITEUmQ+oSgvEVEpMkq5i1ZLoScAUxw99PNbGfgFmA3d19b7vP1dB7s7p5Ab+/KJkWaDtqmbNA2pV/etgfCNqFCCNDavKWZ0nwepjk2SHd8iq0xiq1xrY6vWsf0LDfHGg8sj/5eBowGVB3VAv3rB1jct5r+9QNJhyI10jETaZjyFmkZpc3ZouPVWpkdHQs4D/i+mf2BkEmc4e7PJBxTrgxs3MhVtyxiwcJelq3oZ/uJnczs6Wbu7Bl0jMxy+TW/dMxEhk15izSd0uZs0fGKR2YLIe7eBxySdBx5dtUti7j5nsc2vV66on/T6yPm9CQVllShYyYyPMpbpBWUNmeLjlc8VJyTsvrXD7BgYW/Z9xYsXKJHkymkYyYikj5Km7NFxys+KoRIWctX9bNsRX/Z9/pWrmX5qvLvSXJ0zERE0kdpc7boeMVHhRApa9L4Traf2Fn2va4JY5k0vvx7khwdMxGR9FHanC06XvFRIUTK6hzdwcye7rLvzeyZQudoDRaTNjpmIiLpo7Q5W3S84pPZjunSenNnzwBCG8i+lWvpmjCWmT1TNi2X9NExExFJH6XN2aLjFQ8VQqSijpEjOWJOD4fuN53lq/qZNL5TNQApp2MmIpI+SpuzRccrHiqEyJA6R3ewQ9c2SYchddAxExFJH6XN2aLj1VrqEyISA826KiIicVK+I2mnJyEiLaRZV0VEJE7KdyQrVAgRaSHNuioiInFSviNZoSKxSIto1lUREYmT8h3JEhVCRFpEs66KiEiclO9IlqgQItIimnVVRETipHxHskSFEJEW0ayrtdEILiLSKKUfW1K+I1mijukiLaRZVyvTCC4i0iilH5Up35GsyHQhxMxOB94CjAYudPfLko1IZEuadbUyjeAiaaW8Jf2UflSmfEeyIrPVBWa2P/AqYB9gf+AFScYjUk1h1lVlBIFGcJG0Ut6Sfko/aqN8R9Ius4UQ4A3A34DrgBuAecmGI8Ohdr3tRSO4SIopb0k5pR9SULh3WLtuQ9KhSAOy3BxrCvA84CDg+cA8M3uRuw+W+3BX1zaMGlV7bUB394SmBJkmadymgYGNXHrDA9x1/5P0Pr2G7u3GsdeuO3HUwbvQ0TF0GTmN2zRc7bBNEyaNo7trHIv71mz12SnbjWP6tMmMHZPe5CmPx0g2aWne0kxpPg9bGVsz0o923XfDlZbYhnvvELe07LdKkoovvbn80JYC/3D3dYCb2VqgG1hc7sN9fatrXnF39wR6e1c2Jci0SOs2XXHzwi3a9S7uW8O82x9m9Zp1Q7brTes2DUc7bdPu0ydvceyLl69cvoa07oW8HiPZpGV5SzOl+TyMI7bhpB/tvu8alabYhnPvELc07bdyWh1ftfwlfcXF2v0BeKOZjTCzZwPbEjIPyQi1621vc2fPYM6sqUyeOJaRI2DyxLHMmTVVI7hI0pS3ZIDSj/ale4f8yOyTEHf/hZntC/yJUJg63t115mVILe16d+jaJuaoJC4awUXSSHlLNij9aF+6d8iPzBZCANz940nHII0rzOy6tExiopld20dhBJes6l8/oJugnGmnvCXr52/W0w+pn+4d8iPThRDJtsLMruXa9WpmV0k7TZYmWabzV7JK9w75oUKIJEozu0pWabI0yTKdv5JlpfcOU7Ybx+7TJ+veIWNUCJFEqV2vZNFQHSMP3W+6zmNJLZ2/knWl9w7Tp4VR0SRb9MxVUkEzu0qWaLI0yTKdv5IXhXuHNM8rJZWpECIiUqdCx8hy1DFS0k7nr4ikgQohIiJ1KnSMLEcdIyXtdP6KSBro+ZWISAM0qIJkmc5fEUmaCiEi0vYamStBgypIljXr/M36PCMikhwVQkSkbTVjrgRNliZZ1uj5W+3aERGphfqESEP61w+wuG81/esHkg5FpGGFuRKWruhnkM1zJVx1y6KkQxNJNV07kje6r4mfnoRIXTTLruSF5koQacxQ187adRtijkikcbqvSY4KIVIXzbIreVHLXAlqZiWytaGunb4V/bq5kMzQfU1yVMSTmg1V+6VHmJIlmitBpDFDXTtdFd4TSRvd1yRLhRCpmWbZlTzRXAkijRnq2tHs1ZIVuq9JllIKqVmh9mtpmQtWNceSRZorQaQxunYkD3Rfk6zMF0LMbAfgXuAAd/9Hq3+vncdEL9R+FbedLFDNcba163mtuT6kkrjzlqzRtdO+6Wae6L6mvLjO7UwXQsxsNHARsKbVv6XREwLVfuWLzutAc31IsTjzlqxrx2tH6Wa+6L5ms7jP7UwXQoAvA98BTm/1D2n0hEC1X/mi81qkrNjyFskepZv5ovuazeI+tzNbCDGz9wK97v4bMxsyo+jq2oZRo2o/qbq7J2z6e+26Ddz30NKyn7vvoaV84NBxmeiIV7xNzTC1qWtrTLO3KQ3i2qY4z+u8Hae8bY9s1uq8pZnSfB6mOTZoPL440s0077u8x9aq+5o07zcI8SVxr5v+O+fKjgIGzWwO8FLgB2b2Fnd/qtyH+/pW17zi7u4J9Pau3PR6cd9qevvKP5Vf8vQaHnpkaeofR5duUx5om4YnrvN6uNuUtnbXeT3vZJOW5S3NlObzsNmxNTsNGE58rU432+m4NpNia1whvlad29Xyl8wWQtx938LfZjYfOK5SJjFcGj1B8ijt57XaXUsS4sxbpLo0pgFpTzdFGpXEua2cvAaaT0DyKO3ndaFt6tIV/QyyuW3qVbcsSjSuVuhfP8DivtWaGEvqkvfzJo1pQNrTTZFGJXFuZ/ZJSDF337/Vv6HREySP0npeDzWL7aH7Tc9FZp/Gml7ZLI68pREDGzdy8fV/446/Pp7b8ybNaUBa002R4Yr73M5FISQOGj1B8iit53Uts9imvR9WLTTKjjSiHc6bNKcBaU03RYYr7nM7H1UmMSqMia4ER/Ikbed1oW1qOXlpdz1UTW9em9jI8LTLeZOFNCBt6aZIs8R1bqsQIiKp0w7trmup6RUp1S7nTTukASLtTs2xRCSV8t7uWqPsSCPa6bzJexog0u5UCBGR2NUy7n/e210XanqL2/YXqKZXKmmn86aRNCBt8wqJSGUqhIhIbBoZDarQNjWPVNMrjZg7ewbbjBvDHX99oi3Om1rSAI00J5I9KoSISGzaYVSfeuT9aY+0RsfIkRx7yG4c+Iqddd5ElLaIZI+qB0QkFu0yqk8jNMqONELnTaC0RSSbVAgRkVi0y6g+IhIvpS0i2aRCiIjEIgvj/otI9ihtEckmFUJEJBYa919EWkFpi0g2qWO6iMRGo0GJSCsobRHJHhVCRCQ2Gg1KRFpBaYtI9qgQIiKxy/PcHyKSHKUtItmhPiEiIiIiIhKrzD4JMbPRwKXANKAT+Ky7z0s0KBFJjf71A2qWIXVT3tI6uiZFpFhmCyHAu4Cl7n6kmW0P/AVQRiHS5gY2buSqWxaxYGEvy1b0s/3ETmb2dDN39gw6RurhrwxJeUuT6ZoUkXKyXAi5Grgm+nsEsCHuAFSrI5I+V92yiJvveWzT66Ur+je9PmJOT1JhSXYknrfkja5JkXRL6n52xODgYGw/1gpmNoFQS3Wxu19R6XMbNgwMjhrVnB07MLCRS294gLvuf5Lep9fQvd049tp1J446eBc6OlSrI/Fau24DfSv66ZrYydgxWa5XGL616zZw/JduYXHfmq3e26FrHN/8+Oy230dVjEg6gDRJIm/JI12T1Sn9liTFdD9bMW/J9BlvZjsD1wHfqpZJAPT1ra55vd3dE+jtXVnx/StuXrhFrc7ivjXMu/1hVq9Zl9panaG2KYvafZuy0sQhzuO0uG81vWVudgCWPL2Ghx5ZOuyRc/J63slmrcpbminN52FxbHFck/VKw76rlH6f8PaZLFv2TKKxVZKG/VaJYmtMHPez1fKX9Nyp1MnMdgRuAk5z90vj+t3+9QMsWNhb9r0FC5fQv34grlCkzRWaOCxd0c8gm5s4XHXLoqRDS8yk8Z1sP7Gz7HtdE8YyaXz590QKkspb8krXZHmV0u9Lb3gg6dCkTaThfjazhRDgDKAL+LSZzY/+jWv1jy5f1c+yFf1l3+tbuZblq8q/J9JMaUg80qhzdAcze7rLvjezZ4r6bkktEslb8krX5Naqpd933f9k26bfEq803M9mtjmWu58InBj37xZqdZaWOXDtXKsTp0IHqgmT2ve+oJbEo1wTh3YYTGHu7BlAKIz1rVxL14SxzOyZsmm5SDVJ5S151o7XZLW0tlr6veTpNRXT73bQDnlUWqThfrZlhRAzO6PWz7r7ua2Ko9kKtTrFbegK2rVWJy6lbWi7u8ax+/TJqesDEYd6E4+s9B9pho6RIzliTg+H7jddmVkO5TVvybN2uiZrSWurpd9TthvXlpWZ7ZRHpUUa7mdb+STk2Bo/NwhkKqNox1qdNCgd5nFx35q2Heax3sSjHYfI7Bzd0ba1iTmX27wl79rhmqwlra2Wfu+16065LaBV0455VBrMnT2DbcaN4Y6/PpHI/WzLCiHu/vxWrTtp7VSrkxZD9YE4dL/pbXcMai0Ma99JnuQ5b5FsqyetrZR+H3XwLqkdHatVlEclp2PkSI49ZDcOfMXOidzPxtYnxMxGATsCha0bAXQCL3f3H8cVRzO1Q61OWjTaByLPai0Mt9O+U3vi9pPHvCXv8nqd1pPWVkq/23GusXbKo9IqqfvZWAohZvYG4HKg3BAZK4HcZBR5TVyTloYOVGk1VOLRDvtO7YnbUzvlLXmQ9+u0kbRWlZntkUelSZruU+N6EvIF4G7ga4QZaN8BTAX+F5gTUwwtlffENWlp6ECVVe2w79SeuG3lPm/Jk7xfp+2Q1raC9ls8qk2QmZS47o5fDHzS3W8FFgDr3P0i4DRy0nFQE8e13tzZM5gzayqTJ45l5AjYoWscc2ZNbdsBAfrXD7C4b3VNY8qX7rvJE8fmZt9pzpS2lvu8JS/a5TodTlrbv36AJ5c8k5t9UY8851FpkcYJMuN6ErKe8Ggc4J/AbsBvgd8D34ophpZRp6p4lLahnT5tMiuXr0k6rNg18tQtz4MpqD1xW8t13pIn7XKdNpLWbpGmr+xn+wnt15Iiz3lUGgw1QeaBr9g5kf0d19l9L3BU9PffgNdFf/cA62KKoWXSMOtkOym0oR07JrNzbQ7LcJ66FfZdnhL3QnvictSeOPdynbfkSbtdp/WktVuk6YPt3ZIij3lUGtQyQWYS4iqEnAWcamYfJXQU3NvMFgBXE9rxZlq7Ja6SnHZp0lCPQnvicqq1J66nOZuk1lnkOG/JkqGup0av07xTmi5xqHafmuQEmbFUJbv7fDPrAca4e6+Z7Qu8H7gC+EYcMbSSOlVJXOpp0pCmETBarZ4JRDWIRH7kPW/JgnLX0z57PIeD937uVtdTO0/0Wyk9bpdmapKstE6QGVt7Fnd/rOjv+4GPxPXbcWjnxFXiU8tQhu14k11Pe+K8j9DTbvKet6Rduetp3u0Ps3rNuq2up3Zs9z9UeqzhaSUuaZwgM655Qv4JDFZ6390zn/O3Y+Iq8avlqdsVNy9s25vsocbc1yAS+dIOeUuaNXo9tdPcGENVeqglhcQljRNkxvUk5EdlfrcHeCNhPPfcyELi2k7NdPKo2lM33WRXp6bOsx3HAAAgAElEQVQPudM2eUsa6Xqqrtb0WC0p8iML91dpuk+Nq0/I2eWWm9kHgdnA1+OIo93luZlOFi78Zqn21G3p8tW6KahCTR/yRXlLsnQ9VVdrIa04Te8YM5qBdetzn49BvvLtavdXUlnSY5z+CjivkS+a2UjCOPB7AP3AMe7efuPZ1SGPbeHzXLAaSrnaDN0UVKemD21DeUsMdD1VV2963Dm6g+4p29Lbu3Krz+dJHvPtavdXJx6+Z1JhpV7SR/sQYMUwvjvW3fcGPgF8pWlR5dDadRtyOQygZqrfkobBHJpm5m0LyltiUu56estrXqDrCaXHleQt3x6q2d3adRtijig7kuyYPgHYATizwdW+GrgRwN3vMrNZjUeYf30r8td2d6iCVbv2f2i0fXGeHo1Xo0Ek8kN5S/LKXU9Tn71d7mvza00v1d9jS3nstzhUs7u+Ff2JNztKrcHBwZb/6+npOaunp+fMkn+n9/T07D+MdX6vp6fnwKLX/+np6RlV6fPr128YbJozzxwchM3/7rkn/CteduaZ4bM77bR52cteFpYde+yWn3388cHBefO2XHbRReGzxcsOOigsO+igLZcPDobPFy+bNy+st2jZ/FkHDh700esH/7nDCzYtW7Jt1+BR5/xmcP2nPp3JbbpxtwPKbtNbPnb94IpTT8/kNg0ee2z47MtetnnZTjvVfe5trHGbNlx3/RbLLnvLiYPfve6+VG5THo/TsLepsJ7hI2v/lLfoWoh7mzZsGBi8Z+5xW3z22i9fObjh7j8NuU3rdn/p4Jr+9anbpjiP0xO9q7ZYdvcLZg0e9NHrB+9+wazMbtOa/vW526ZNv9UcVPo3YnBwMOlyUEPM7KvAXe7+0+j1Y+4+tdLne3tX1ryh3d0TcleL0909ga//5N6ybXfnzJqayT4hEyaN47jP31y2ve3kiWP57LGvzFyNShLnXumQvgXNOi/KbVOWn7rkNX0ARiQdRxq0Mm9ppjSfh0nGVkvaMpz4kkgv06IZsfWvH+BTF9/V9Hw76f1W7bw48fA9U3tMofX7rrt7QsW8pWVPiMzs3bV+1t1/0MBP3AEcDPzUzPYC/tbAOtpK3h4Ljx0zSp0ihynuR+N57JAo8VLeIuXEkbbksSlR3PI6mEHe7q/i0spmapeUvB5JqGlbCawDJgMDwJNAIxnFdcABZvbHaL3vazzU9pDHtvC68Icn7nH+8zhCm8ROeYtsJY60RfOiNEce8+083l/FoWWFEHcfXfg7qrk6AXiPuz8YLZsGXA7Ma3D9G4Hjhh9p+0nTRDXDpQt/eOIc0le1iNIMylukVFxpi4ZAb44859t5ur+KQ1ztH84FPljIJADc/RHgROC0mGKQHCtc+GlMyPrXD7C4b3Uqh0Ee7hCS9WxbLbWIInVS3iLDTltqTceyOuRuWvOgNOfbEo+4Rg0bD5Q7yybGGINIrLLS/6GRR+ONbJtqEaUFlLdIw2lLI+lYlpoSZSUPkvYVVyL9K+BiM/sg8GdCO9tXEWalvSamGCSS5ZGJsiQr/R8aeTTeyLbltUOiJEp5izSctjSSjmWpKVFW8qA80f1VfeIqhBxPyBD+AJsmlhoB/Bw4KaYY2p5qReKTxf4PtbZlHc62ZakWUTJBeYsA9actw02j0972P4t5UJZVu7+SymIphLh7H/A6M3sxsAshs/iruy+K4/clUK1IfPI8ispwti1LtYiSfspbpKDetCXPaTTkf/vSptr91YmH75lUWKnXsupvM3t28d/R6+XAH4E7gdVFy6XF1q7bULVWJG0d1rKu0Ea5nKz3f2jGtqlDojRKeYtUU2vakuc0GvK/fWky1FOntes2xBxRdrSyDc6jZrZD9PdjwKNl/hWWS4v1rdDIRHHK6igqtcjztkkmKG+RYct7Opb37UuToZ469VV4T1rbHGs2sCz6+7Ut/B2pQddEjUwUtzz3f2jWtiXViU+dBzNNeUtKFa6rCZPGJfK79V7PeU6jIf/blxZDjc7WNbGTlcvXJBBZ+rVyssLbyv1dYGZT3H1Jq35ftjR2zCiNTBSzPPd/GO62JTVIggZnyD7lLelTel11d41j9+mTU3895zmNhvxvX1oMNTrb2DGjWJlAXFkQS8d0M+sCzgO+DjwI3Ai81swWAW9WJ8J4qFYkGWkfRWU4Gt22pAZJ0OAM+aK8JR1Kr6vFfWsydT3nOY2G/G9fGuj+qjFxDdH7dWAWIbN4G7AP8I7o3/nAwTHF0dZUKyJpkNTQkRqyMpeUtyRM17OI7q8aFVf7gzcB73F3J2QKN7r71cCngH1jikEiWR+ZqH/9AIv7VmvEiYyqZejIYoXjPdwR3Or9XckE5S0Ja/V1Ven61/WcT81K75OS9furuMX1JGQs8FT09wHAmdHfG6N/IkNKqt2xNNdQnfgKgyQ0u/9Grb8rmaK8JWGtuq6Guv51PeeL+uu1p7iO7F+Ao8zsOGAK8EszGwN8HFgQUwyScYX2v0tX9DPI5nbHV92iZt9ZUuvQkaXHu9Deu9HjrSErc0l5S8JadV0Ndf3res6XZqf3kg1xFUJOAT4EfBM4z93/Q2jL+xbg1JhikAQN9xHrUO1/s/roNg2SePw9d/YM5syayuSJYxk5AiZPHMucWVM3deKr9XjXG/tQvyuZo7wlBUqvqx26xtV9XRVfy7Ve/2m5nrPehChprcrfdVzSL5bmWO5+l5ntBExy975o8ZeAU919Vb3rM7NJwI+AicAY4KPufmfTApamadYj1lra/2r0j/ok+fh7qE58Qx3vZSvWcuuCx+uOXZ0H80V5SzqUXlfTp02ueV6EcumQPberpvQ+6etZTYiao9n5u45LdsTVJwTCU5fXm9mLgW8AzwVWAnVnFMBHgd+5+9fMzICfAC9rWqTSNM0aQlHtf5svDcPVVho6cqjjffM9j3Lrgic2Las3dg1ZmSvKW1KicF3VMy9CuXToj/c/xdgxHaxdt3UNdrn0PqnrOQ1paB40O3/XccmOWIqEUU3V34CLCaOWbEdI7O83s5c0sMrzgYuiv0cBa5sRpzRXMx+xqv1vc6W9eVu14737jMnc99DSsu+lIXaJj/KWbKuWDlWSlvQ+7WloljQzf9dxyZa4noR8FXgAeClQmMn2ncCVwJcJwyyWZWZHAyeXLH6fu/+fmT2L8Oj8pKEC6OrahlGjaj+Ru7sn1PzZrIh7m55c8gzLVlZ+xNoxZjTdU7ateX0nvH0m24wbw133P8mSp9cwZbtx7LXrThx18C50dOTnEWscx6nZx2YojWxTpeN94KumMX/B42W/04rYy8lj+pBRmctbminN52EtsVVLh/rXDTB71s7c/9CSlqT3w913rUxDs35cG9GM/L27e0LseVut0nxMIbn44iqEvBZ4vbv3hyfc4O6rzOwTwO3VvujulwCXlC43s90IGc0p7n7bUAH09a2uOdju7gn09tb6MDkbktimgfUDbD+h8iPWgXXr647pkH2mceArdt6i3fGyZc80K+TExXWcWnFsKhnONhUf70J77/4YYy8nr+lDRmUqb2mmNJ+HtcZWLR3afuJYDtvvBRy23wu2uP6bkd43Y9+1Kg3Nw3FtVLn0vtbjXYgtzrytVmk+ptD6+KrlL3FVH48D1pdZ3gmMqHdl0WP2q4Ej3P3Xw4xNWqRVTaiK2x1LY7LUvK108qcsxS4tp7wlw2q5ltM6+ZvSodYY7vHWccmWuO7ifgucZmbvi14PRqOQfB64tYH1fZ4wSdXXo9qv5e7+1qZEKk1VGCpxwcIl9K1cS9eEsczsmaIhUVMgy8cmy7FLUylvybgsX8tZjj3PdFyyY8Tg4GDLf8TMdiZkCNsAOwD3A88HlgJz3P3hVsfQ27uy5g1N+6OzRjRzm/rXD9Q9HGIj3xlqHTpOzdGMY1NNK7ep1bGXk9fzjgaeHCQta3lLM6X5PGwktjiv5Wbvu2bGnrfj2qh692m52Bo9Ls0+F9N8TCGW5lgV85a45gl51Mx2B44gdCBcR+hM+GPgdUDLMwoZvuGMvT2cIRQr/e4Jb5/Z0PraQT2JaJaHq81y7DJ8ylvyI8vXcj2xJ1FxkiXNnOOj3nNK84vEr6WFEDM7DJgLbAB+6O7fK3pvB+Ay4DBAV2IGJDX2dqXf3WbcGA7ZZ1rLfjeLlIhKO1DeIlmjtLk2Sc7xoflF4teyM9/MTgKuAvYAdgPmRRkHZjYXeBB4K3BWq2KQ5klq7O1qv3vX/U9qzO8ShUR06Yp+BtmciF51y6KkQxNpCuUtkkVKm4eW5Bwfml8kGa0sfr8fuMDdX+juuwCfAD5hZicQZqF9AHipu5/TwhikSZav6mdZmSHvIIy9vXxV+fda+btLnl7Tst/NIiWi7ad//QCL+1a327HNZd7SpseyLShtrk1S9xlJ/3Y7a2VzrOcB3yl6fSFh5JHPAacCX3X3RDr0Sf0mje9k+4mVx96eNL4z9t+dst24lv1uFtWSiGa1zbVsqc2bduQqb2nzY9kWlDbXJqn7jKR/u521MoUbRxihBAB3XwOsBc5x969kKZOQ5Mberva7e+26kzr2FSkkouUoEc2XNm/akau8pc2PZVtQ2lybJOf40PwiyYi7mmUQ+HnMvylNMnf2DObMmsrkiWMZOQImTxzLnFlTWz72dqXfPergXVr6u1mjRLQ9qGlHWZnMW3Qs24PS5toldZ+R9G+3qySmnFaqmlEdI0dyxJweDt1veqxDDFb63Y4ONVUopUma8k9NOyrKXN6iY9k+lDbXJqn7jKR/u121uhByopk9U/J7HzKzZcUfcvdzWxyHNFFS47lneRz5uCgRzT+1XQZykrfoWLYPpc31STK/171GfFpZCPkPYQKpYk8Bh5YsGwRSnVGIZI0S0fwqNO0oHs++oE2aduQmb9GxbD9Km0U2a1khxN2ntWrdIiLtrJ2bduQtb2nnYyki7S2JPiEiIjIMatqRHzqWItKu1LO3RTTxlIi0WqFph25as0/HUkRaLW33pnoS0mSaeEpE6tW/fkC14FI3nTciUotq96ZJUiGkyQoTTxUUJp4COGJOT1JhiUgKqdJCGjGwcSMXX/837vjr4zpvRGRI1e5NTzx8z6TCynYhxMxeBNwN7Ojua5OOZ6iJpw7db7pqq0RkE1VapFPa8pZSOm9EpFZD3ZuuXbch5og2y2yViZlNBL4ClJ/pKQG1TDwlIgKaLTut0pi3FNN5IyL1GOretK/Ce3HIZCHEzEYA3wXOAFYnHM4mhYmnytHEUyJSrJFKi7R1KsybtOQt1Y6zKrtEpB5D3Zt2VXgvDqlvjmVmRwMnlyz+N3Clu//VzGpaT1fXNowaVXtTqO7uCTV/ttg+ezyHebc/XGb5s5n67O0aWmezNLpNaaZtyoa8bVMztmfCpHF0d41jcd+ard6bst04pk+bzNgxIYkeGNjIpTc8wF33P0nv02vo3m4ce+26E0cdvAsdHZmsS0pcUnlLNbUc53rOmySl/ZpPc3yKrTGKrbJq96Zjx4xibELxjRgcHEzkh4fDzBYBhQaxewF/cvd9q32nt3dlzRva3T2B3t6VDcW2uaPp1hNPJdlhcDjblFbapmzI2zY1c3uuuHlh2dmy58yaukXb/lo/16gogxwx7BVlXKvzlqGk5XwYrrRf82mOT7E1RrFVV+3e9Fk7TmppfN3dEyrmLclXlzTA3TeNKWZmjwCvTyyYEpp4SkRqVcts2RrwIj5J5i31HOe5s2ewzbgx3PHXJzTLuogMKa33ppkshKRZ8bjtO3Rtk3Q4maXx76Ud1JIx1NIHQGlN9tVznDtGjuTYQ3bjwFfsrHRS2obuC4avc3QHk8Z3pmY/Zr4Q4u7Tko4BNN5/s2g/SjsqzJZdTqFT4dIyN6ga8KJ14s5bGjnO1c4bkbzQfUFzVNqPJ7x9ZmIx6eg1SWHc9qUr+hlk87jtV92yKOnQMkX7UWRLnaM7mNnTXfa9mT1TEq/JkubQcRYpT/cFzVFpP156wwOJxaRCSBNo3Pbm0H4UKW/u7BnMmTWVyRPHMnIETJ44ljmzpqoPQM7oOItsSfcFzVFtP951/5OJ7cfMN8dKA7XZbg7tR5Hy0tqpUJpLx1lkS7ovaI5q+3HJ02sS2496EtIEmqSwObQfRaor9AHQjWm+6TiLBLovaI5q+3HKduMS248qhDSB2vI2h/ajiIiIFOi+oDmq7ce9dt0psf2o5lhNUst4/zI07UcREREp0H1Bc1Taj0cdvAvLlj2TSEwqhDSJ2vI2h/ajiIiIFOi+oDkq7ceOjuQaRakQ0mQat705tB9FRESkQPcFzZGm/ag+ISIiIiIiEisVQkREREREJFYqhGRc//oBFvet1oQ9IiIiIhnUrvdy6hOSUQMbN3LVLYtYsLCXZSv62X5iJzN7upk7ewYdI1W2FBEREUmzdr+XUyEko666ZRE33/PYptdLV/Rven3EnJ6kwhIRERGRGrT7vVz+i1k51L9+gAULe8u+t2DhkrZ7nCciIiKSJbqXUyEkk5av6mfZiv6y7/WtXMvyVeXfExEREZHk6V4uo82xzKwD+CowCxgD/K+7/zrZqOIzaXwn20/sZGmZk7drwlgmje9MICoRkWxr97xFROKje7nsPgk5Ehjt7vsAhwAvTjieWHWO7mBmT3fZ92b2TNFMoiIijWnrvEVE4qN7uYw+CQHeANxvZr8ERgAfTjie2M2dPQMI7Qb7Vq6la8JYZvZM2bRcRETq1vZ5i4jEp93v5UYMDg4mHUNVZnY0cHLJ4l7gEeAoYF/gHHfft9p6NmwYGBw1Kn+lyrXrNtC3op+uiZ2MHZPVMqWIpMCIpAOIk/IWEUmLnN/LVcxbUl8IKcfMrgSudvefRa+fcvdnVftOb+/Kmje0u3sCvb0rhxllumibskHblH552x4I20SbFULKaXXe0kxpPg/THBukOz7F1hjF1rhWx9fdPaFi3pLVPiF/AN4EYGZ7AP9JNhwRKVWYAXbtug1JhyJSK+UtOdWuM1KLpFlWn/lcDHzbzO4i1N4dl3A8IhIpnQG2u2scu0+f3DYzwEqmKW/JmXIzUu+zx3M4eO/nKj0SSVgmCyHu3k9osysiKVM6A+zivjVtNQOsZJfylvwpNyP1vNsfZvWadUqPRBKmagARaRrNACsiaaH0SCTdVAgRkabRDLAikhZKj0TSTYUQEWmawgyw5dQyA6w6j4pILWpJK4abHolIa2WyT4iIpFNhBtjiNtgF1WaALdd5dGZPtzqzi8gW6kkrGk2PRCQeKoSISFOVzgA7ZbvNo2NVUq7zqDqzi0ipetOKcjNS77PHszl47+fGE7CIVKRCiIg0VcfIkRwxp4dD95vO8lX9TJ82mZXL11T8/FCdRw/db7pqLEWkobSiND2aNL6Tqc/eLtWTx4m0C7VzEJGW6BzdwQ5d2zB2TPW6DnUeFZFaDCetKKRHqtAQSQ8VQkQkUeo8KiK1UFohki8qhIhIogqdR8tR51ERKVBaIZIv6hMiIokr13l0Zs+Uqp3ZRaT9KK0QyQ8VQkQkceU6j6pWU0RKKa0QyQ8VQkQkNQqdR0VEqlFaIZJ96hMiIiIiIiKxUiFERERERERipUKIiIiIiIjEKpN9QsxsG+AnQBewDniXuz+VbFQiIpJlyltEROKT1Sch7wbc3fcFrgJOTTgeERHJPuUtIiIxyWohZC2wffT3RGB9grGIiEg+KG8REYnJiMHBwaRjqMrMjgZOLll8PHARsJGQYbzG3f9ZbT0bNgwMjhqlscRFRCoYkXQAcVLeIiISi4p5S+oLIeWY2XeBe939IjPbHfiRu+9e7Tu9vStr3tDu7gn09q4cbpipom3KBm1T+uVteyBsE21WCCmn1XlLM6X5PExzbJDu+BRbYxRb41odX3f3hIp5S1abY40Hlkd/LyY8NhcRERkO5S0iIjHJ5OhYwBnAxWZ2PGEbjk04HhERyT7lLSIiMclkIcTdHwEOSDoOERHJD+UtIiLxyWpzLBFpUP/6ARb3raZ//UDSoYiI5I7SWJHaZPJJiIjUb2DjRq66ZRELFvaybEU/20/sZGZPN3Nnz6BjpOojRESGQ2msSH1UCBFpE1fdsoib73ls0+ulK/o3vT5iTk9SYYmI5ILSWJH6qGgu0gb61w+wYGFv2fcWLFyiZgMiIsOgNFakfiqEiLSB5av6Wbaiv+x7fSvXsnxV+fdERGRoSmNF6qdCiEgbmDS+k+0ndpZ9r2vCWCaNL/+eiIgMTWmsSP1UCBFpA52jO5jZ0132vZk9U+gc3RFzRCIi+aE0VqR+6pgu0ibmzp4BhPbJfSvX0jVhLDN7pmxaLiIijVMaK1IfFUJE2kTHyJEcMaeHQ/ebzvJV/Uwa36naORGRJlEaK1IfFUJE2kzn6A526Nom6TBERHJJaaxIbdQnREREREREYqVCiIiIiIiIxEqFEBERERERidWIwcHBpGMQEREREZE2oichIiIiIiISKxVCREREREQkViqEiIiIiIhIrFQIERERERGRWKkQIiIiIiIisVIhREREREREYqVCiIiIiIiIxGpU0gGkgZm9Eviiu+9ftOwI4MPuvndigQ1D8TaZ2Q7AxUAXMAJ4t7v/K9EAG1CyTS8Cvhe9tRA4xt03JhddfcxsNHApMA3oBD4L/B24DBgE7geOz8E2/Qe4ABgA+gnn3n+TirFe5bbJ3edF72UyjahwnO4iB2lEuzCzPwMropf/cvf3JRkPbJU+zyBFaVlJbDOBXwD/jN7+trtflVBcqc0HKsT2KCnYd2bWQUivjLCfjgPWko79Vi620aRgvxVE94T3AgcAG0hwv7X9kxAz+zjhZnZs0bKZwNGEzDhzymzTl4Afu/u+wP8CuyYVW6PKbNNZwLnu/mpCAvnmhEJr1LuApe7+GuCNwIXAV4FPRctGAG9NML5GlNumrxNu1PcHrgVOSy68hpTbpqynEeW2KfNpRLsws7HACHffP/qXhgJIafqcmrSsTGx7Al8t2n+J3QyS7nygXGxp2XcHA7j7PsCngM+Rnv1WLra07LdC4fIiYE20KNH91vaFEOAh4H8KL8xsMnAucFJiEQ3fFtsE7ANMNbObgXcCtyQS1fCUbtNaYHszGwFMANYnElXjrgY+Hf09glAbsSdwW7Ts18CcBOIajnLb9A53/0u0bBThuGXJVtuUgzSi3HHKQxrRLvYAtjGzm8zsFjPbK+mA2Dp9TlNaVi62N5vZ783sEjObkFBckO58oFJsie87d78eeH/08nnA06Rkv1WJLfH9Fvky8B3gieh1ovut7Qsh7v4zohvY6DHaJcBHgZVJxjUcxdsUmQb0ufscQvOYrNVGl9umbxBq2R8EdgTmJxBWw9x9lbuvjBKjawg1JiPcfTD6yEpgUmIBNqDcNrn7kwBm9irgBOD8JGOsV5lt+jQZTyMqnHvTyHga0UZWE24k3kBo6vFjM0u0aXWZ9Dk1aVmZ2P4EnBo99XsYODORwEh3PlAhtjTtuw1mdhmhue+PScl+qxBbKvabmb0X6HX33xQtTnS/tX0hpMSewAuBbwNXAi8xs68lG1JTLAXmRX/fAMxKMJZm+RGwr7u/CPgB8JWE46mbme0M3Ar80N2vAIrbYU4g1KBkSpltwszmEmpe3uzuvUnG14jibSK06c18GlHmOOUxjcirhcCP3H3Q3RcSjt1OCcdUKs1p2XXufm/hb2BmksGkOR8oE1uq9p27vxfoIfTBGFf0VuLnXElsN6Vkvx0FHGBm84GXEu6ddih6P/b9pkJIEXf/k7vvErVffwfwd3fPapOLYn8A3hT9vS/wQIKxNMu2bO6Y+QShQ21mmNmOwE3Aae5+abR4gZntH/19IHB7ErE1qtw2mdm7CE9A9nf3h5OMrxGl25SHNKLCuZfHNCKv3kdU6WJmzwYmAk8mGtHW0pyW3Whmr4j+fh2hg24i0pwPVIgtFfvOzN5tZmdEL1cTCm73pGS/lYvt2jTsN3ff1933i/KvvwDvBn6d5H7T6Fjt4WPA98zsg8By4IiE42mGY4BrzGwtsA44NuF46nUGoeD0aTMrtLs9EfiGmY0hNDO7JqngGlS6TR2EDs7/JiTCALe5e2KP8BtQ7jgd6O5rqnwn7cpt03vIXxqRV5cA3zezws3CUe6+IcmAyvgYcHFK07LjgG+a2XrgKTa3309CmvOBcrGdDJyfgn13DXCZmf2eMPLUSYR9lYZzrlxs/yY951ypRK/VEYODg0N/SkREREREpEnUHEtERERERGKlQoiIiIiIiMRKhRAREREREYmVCiEiIiIiIhIrFUJERERERCRWGqJXcieaiGe/Cm9/2N0vNLNHgO+5+2ej2YY/7O7nR98fARwJ3Ojui4cRxwbgGHe/rNF1VFn3ZcDUaIZrERHJiSgPW+TuxzRhXZcxzLzCzAaBI939R8ONR6SYCiGSV1cQxr8uVZjg8OWEiYQA5gJfBc6PXr8KuBx4fisDFBEREWlXKoRIXq1x96cqvenuvUUvR5S8XfpaRERERJpIhRBpS4XmWMAfgB9GywaB9wHfjz72LzM7293PMrNdga8ArwGWAb8ETnP3p6Pvbg9cCLwZeAY4vcpvjyfMmnpCcVMtM/smsIe7v9rMpgHnAa8FJgGPA9909/PKrG9/4FZgZ3d/rNwyM+sEziXMhL0tsCCK/67o8zsC3wb2BzqBO4FT3P0vQ+1LERGpj5ntAXye8OR9G+BfwOfc/QdlPvsK4IvAK4DlwI+AM9x9g5ltA/wv8A7gWcBfo/d+V7SKMWb2NUIz49HA9cAH3f2ZaP27Al8C9gYGgV8AH3X3JU3fcJEi6pgu7e6PwAnR3zsBVwNvjV6/AviymT0HuA24D5gJvA14CXBt0XquBnYD3hh9/wSgo9wPuvsq4GfA4YVlUb+UtwOFDOgGYCyhEPLiaPmXzOylDW7nD4B9o9+YBdwCzDeznuj9bxEyp32AlwEroxhFRKSJzGxb4CbgCZ8B14wAACAASURBVOCVwO7A74GLowqh4s8+n1ChtIjQjPhdhMLE2dFHriSk6x8AXgrcBdxoZq8sWs1rCOn7XoR85zCi5spRhdcdhMq11xDyrz2A35pZ2TxMpFn0JETy6j1m9o6SZVeWdvRz93Vmtjz6+ykAM1sWvd3r7qvM7BPAw+5+auF70bofM7O9gaeB2cC+7n5n9P57gAeqxHc5cJOZ7RB1fn8DMB74qZmNAy6L4n08Wt9ngE8SCjp1PZ0wsxmETGpXdy/EdLaZvZqQEX0AmEEoZP3L3dea2QeAl5jZSHffWM/viYhIVdsS+iFe4O6rAczsXOAYoKfks+8nPDk/zt0HgL+b2bHA88zsJcDBwBvc/abo8ydGBZBTCIUNgMcIT94HgX+a2U2EyiiADxHysPe5+/oolncAfydUqv2yuZsuspkKIZJX1wFnlCxb2eC6ZgIzzWxVmfdeXLTeewsL3f3vZlbt924lNLE6DPgm8E5gXlHzrguBudFj+BcSarhGUuHpSg3xA9xtZsXLO6N/AOcQnpYcama3Ab8GfqwCiIhIc7n7YjP7NvBuM5vJ5jQetk7jdwPujQoghe//AsDM3h4t+mPJd24HDip6vSgqgBT0Ac+J/t4V+L9CASRa/4NmtiR6T4UQaRkVQiSvVrj7oiatax3h0flHyrzXCxwQ/V3aoX1dpRW6+6CZ/RA4PBpC8a1EtVZRn5HbCdfnNYQCy93Av+uIufjaLsSxN7Cm5HP9UTzXmNnNwJui7fk0cIaZ7eHu/63jd0VEpAozezah393jhKa3vyA0zbqnzMfXl1lWUJqeF3SUfG+gzGcK+VWt6xBpOvUJEQkd8aq9foDwxOPf7r4oKtxsAL4G7EzoCAihgyGwqZ3t5CF+9weEgsExhKcpv4mWv4FQK7afu5/t7j8jPL4fSfmRuwqFjIlFy15YEj/AjoX4o204GXirmXWY2VeBae5+hbu/D9gF2JHK862IiEhjDgcmAK9x98+7+w3AlOi90jT+QcKT+E33a2b2fjO7l9BkCkJfvmL7FL03lL8DLzez0UXrfwnQVcc6RBqiJyEiUXMqM3s5IcEvNKOaaWZ9hFGvTgAuN7PPE5owXUhIpBdG/Up+DnzLzI4hjF7yDaBqUyZ3X2hmdxOaQl1c9Lj90ej/d5rZPEJ/jS8TaqU6t14TfwNWEZ5cnEkogGyaI8XdF5nZVcB3zex4YCFwFHAc8Hp3HzCzXYCLzOwjwGJC87D1wJ+H2HciIlKfRwmVRodGecAehNEXB9k6jf8m4Sn8BWZ2AaHi6yzCZLsPmdmVwLfN7DjgP4Q+JHsCJ9UYy4XAh4HvR/lbF3ABoXLtd9W+KDJcehIiEpo73UYYIeT9hNqfnxFGHTk76rA+h/Bk4G7CE4tHgQPcvfAU4l3ROq4HbiY8Yn+yht++nFAjtmlYRnf/E3AqcBrghKF1z4jW+/LSFbj7SsJoKbOi2D/D1hM1HgP8ijD88P3AgcD/FA3j+G7goSjuB4FDgLc2sUmbiIgEVxOepF8A/INQYHhX9PcWaXw0OMkbCX37/gJcClzC5tGxjgVuJAzb+2fCaFuvLwySMpSoue0BwFRCc7DrCUO4zynuJyLSCiMGB0tbnoiIiIiIiLSOnoSIiIiIiEisVAgREREREZFYqRAiIiIiIiKxUiFERERERERipUKIiIiIiIjESoUQERERERGJlQohIiIiIiISKxVCREREREQkViqEiIiIiIhIrFQIERERERGRWKkQIiIiIiIisVIhREREREREYqVCiIiIiIiIxEqFEBERERERiZUKISIiIiIiEisVQkREREREJFYqhIiIiIiISKxUCBERERERkViNSjoAkVYxs/nANHeflnAoiTKzs4Azgee7+yPD/Vyzvhd9dyTw3Hq/JyLxMbPLgPcAx7v7t8q8Pw34F3C2u58Va3DDYGaDwOXu/t4aPrsTcDxwCDANWAU8AFwEXOPuG5v5vZJ1zAf2K1k8EK3rL8B57v7LRrarzG+9wN0fLrP8OcBfgZe7+7/qXW9WDffcLt2fZnYzMM/dv9G0IDNMT0JE8u9a4EigN+lAipnZROAu4L0JhyIitfmcme2YdBBxM7N9gfuAE4H5wMnAVwgVuVcB15vZ+GZ9r4oji/4dBZwF7AjcYGZvq3/Ltor3fYQCUjlfA65spwLIcJnZp4CbShZ/EjgnKpy2PT0JEck5d7+PkBGmzfbAy4FfJR2IiNRkO+B84IikA4lL9ARgHvAUcIC7P1r09nlm9n7g28B3KdovjX6vGnf/UZn4rgAeAj4LXFPHppWzHzC2zG/sS3iS84Jhrr/dzKHkPtvd7zaz/yMcr6MTiSpF9CREREREajEPONzMXpd0IDH6PDABeFtJQQIAd/8ucDFhv7ymCd+ri7svBm4FzMy2b3Q9QzgZuL3cdkhDvge808y6kw4kaXoSIrExsy5CLdpswiPkx4CfEtparo0+8xLgc8BrgTHAAuAz7v6bknUdBpwAvBQYBzwOXA182t37Sz57MPAFYDqwEPiiu/+45DO7AecA+wOdhLavX3D364s+Mx9YC9wDnASsBl4HXBAt/xqhdmNXQtOnS6LYK7b5rbROd/9bLfvCzDqBLwJvAZ4DLCbcKHzK3fuiz5xFSZ8NM5sOfIlwLDYQauQGS2I7CziGUAN2IbAH8ASh5u68IbZrcrQ/3wpMAR4Bvh99b8DM9idknABnmllDfUpEJFYfIdTufsvMdi9Na0tFN9dnAntFi/4EnOXuvy/6zCPAbwmVokcASwnp+j3ALwh9Hj4O7AzcT+hf8R/gG8CBwArgckKatzFa52jgFOAdwAuBEYS0/+vufmmtG2tm44D/AX7n7vdX+ehXgA8A7wRub/R7tcZVRiEtrnhPZ2ZvBU4DZgL9wO8J++y+6P35RP1OivuUmNnOwMHAR0vWV0t+Pp/Qb+Vi4DOAEZ7anAL8Afgy8HZgPaHZ8MnuvqbahprZXOD0aF3/BE6NXj9S3AfGzE4APgw8l5Cfn0B4UnSZu59V1NfjEOAg4DBCP5vfAh939/8MEcfR0fpfBKwkNLv6ZFEe+wjwvKL9WdynZB7hnDwWOLfa7+SdnoRInH5KuNgvJmQk84FPEDKTQkHgTuAlhAvzk8Bo4FdRwkP0uWOidT1NSFRPAf5NSIzOKfnNZxESnluj99cCPzKz9xat7+WEvgmvJGQKZxBu+q8zs+NL1vdqYG60rsuAv0fLd4timk/IqB8iZL7H1bBftlpnrfuCUDg4FrgS+FC0re8ntDcuK2rT/UdC5nE+oTByJKHdcqmJhMT1ccJ+vp9QoLuwyvq7ovUfHcVzMvAgoWbwiuhjD0bLAa4jhX1WRGRL7v5vws1kDyHtrsjM3kJID59LSJfPif7+XfRescOB3QkVMRe7+5Jo+SHR730POJtww/cz4GbCjffHCGnS6YQ0pOD70fduI6THZwPjgUvM7E11bPJLgW2BO6p9yP8/e/ceHldV9n38m8w0TdMmbWhDKa1tWmxWqYrgCQWl8iCIB5SKSlBqOFlE1BZfUegjqCh44AGpgloFFAEBReNZKdai0CIqJ5GmK21JW0qBhjZNWppDk8z7x9ozmUxmkplkZs/p97muXMns2bPn3jOTWfvee91rWbsJ9x0ZLh4f7eNSZoyZiGu7dnhXReKtczHwa1wbsgK43nvMeq/9A3fCK5wILcEVzgOcCgSASOG7Z9j2PMrrcO/Hr3Dt9TTcCcM/4gr1L8e9nxfiks3h9vVcXFvX5a273tuv+THrfRl3cnArrt3aimvHpsTZ7Hdwr/9XgR/gEq51w11VMsZci/tMvoRrt2/GnXD7p5fcgPssb/TWWeLtPwDW2gPAv4BUPosFSVdCxBfGmENxZ9Autdb+n7f4ZmNMCQP9TL+LOxB9nbX2Ze9x3wX+Cqw0xjRaa3twDc/DwOnW2pC33vdwZzVOZfAX2XiiRnQxxvwQd2btG8aYO6y1vd7z9uNG/djhrfd9XANyrTHmnqhGcSJwtrX2kah9AzgceJ+19nfesp/irhp8FBgymkyMeNtM9rX4KHCrtXZF1GP3A6caYyZZa/fHeb5LgRrgDdbax7zH3IZrzGNVAqusteFk6iZjzF3AJ4wx37HWbozzmC/gDlIWR11J+p4x5ibgk8aY26y1fzTG/BqXBP0nXl9nEclJ1+MOqi4zxtxprd0cu4IxJgjchDvAfoO1tsNbvgr3PfM9Y8yfrLUHvYdMAN5vrd0Zs6nDgddaa5/yHn8I7vtrnbW23lt2J7AHOAW4zRhzGO6KyjettZdHxdSIOyg8leTr0A73fr+QxLrPM3AwPNrHDcsYMy3q5njglcCVuJNt8U4iha9Kfwt3FeptXrsRbqOexr1Pb7LW3m+M+ai3TvT38VuBl4HoEZ6Sac/DZgCnWWt/7z32oPecQWvtO71lq4C34d7DryTYjwDuBNgG4ISo/dji7V/0a3Q57orGqd4xwk3h9ifOpsuAo6N6DjwI/ImBKyyxcSzEHYM0AmdEHYP8Gndc8i3gw9baXxtjlgMTErRvTwHnGWPGj3RFsZDpSoj4pR13WfaTxpgzvLM3WGvPs9a+w/uiXIRrHCYYY6Z5XyZTcP/s03FFzODOmL07/M/vORRow53tirYX130I7/m6vdvTgTd4VwWOBW4PJyDeel3AtbjG8eSo7XXizmDEOkDUmSLv8RbXOIxk0DZTfC12AGcaY84xxkzxnvsKa+0bEyQg4Low/CucgHiP2QXclWD9r8Xcvg53Kfm0BOu/D2iK7srmCV+len+Cx4lIjvMSh4twB8E3JVjtdcAs4MZwAuI9di/uKupM4A1R62+Ok4AAbAknIJ5m73dj1DZfxnVDneHdfgF3BTdyVdw7OB7n3UxlNKpU9ONek0w+rjXqZwfu6sMbcInIdxM85iSgArgufOAO4HUbuh144wgjNc3DdXWKbm+Hbc9jHt8F/Dnqdvg9jLQP3ra34r2HCbwR187/MHo/cPsd3da9A5dY3BQT89cTbPemcALixfJnXHIWe7Uu7L249u8b0dv3TiKuBt7jJeEjecaLc2YS6xYsJSHiC+/g/0LcAfS9wG5jzH3GmKXGmHJcvQa4PpatMT/Xe/fN9rZ1EJdA3GKMWWeMeRF3xu01DP1Mb/Gudgxa5v2u9X7AJQyxmrzfc6KW7U5QCxFveTfuMvZIYh+b9GuBOxgoxV3ubjXG/N0Yc4kxZvIwz1fLwGsQLd5VjY7o5MwTbkRqE2x/LnFeT+/gYC+DX08RyTPW2gdxXUdPMcbUx1llbnjVOPfF+16N240IeDHmdvi7PHb9PgZ/93fjTs7cbYx5DHfQHE5mUjnuCSdGyQynOoOBLqWjfdxITo76ORF3Qm6qtfarMQfc0VJ9L2JNxdXdRCTRnkfbHdMGJ/sexgq3eYPmMPFO+G1NYr0dDE5WwuINSdzM8O0bJH49K3BdzkYSfk2TWbdgqTuW+MZa+zNjzJ9x/XzfgztjcQruEmn4UvJNRJ0hifE0RLolfQpXqP0w7mzOetwZttkxj4n3xVzi/e6L+jue8Bdi9FmXvgTrjjjh1DBitxlOXEZ8Lay1a4wxs3FXJd6Lez2vBy4xxrzeWhuvcQvhrvDEitcAHIyzLBxfbHIXNtJr2jPM/SKSHz6PO1t8Pa6LU7R0fa8m+o5JdMCNdxD8IK4Aey2u3uB6XH3IsMXGcTyBO3B963AreXUAr2Cg3/9oHzcsa+1fklkvRqrvRax+4rQNw7Xnxphjo7oYpfwejiBeO9U1hvUStXGjbd8guTYuvG6iz35R0JUQ8YUxpsIYczwQstbeaq09A1eXsBI36lI4eei11v4l+gd32XkccMAYMweXgNxurX2dtfZia+0PvBE+4nV9mu1dio9W5/3ewsAZlAXxwvZ++z0s4Vbv90ivRZlXVDjFWnu3tfZs3GtwKa5hi3eGEtwZonh9kOONAT813M0rSvixm4aJ38Qu9PpqV+H/6ykiaebVyX0Bdyb/6pi7t3q/s/G9+mFcF6Wl1tqTrbWf9/rkp3yw543U9Cvgf4wxr42+zxhzhzEmPL9HeOSon4/lcRmy1fs93HsRe7U72ou4qyEDDxq5PT9lTBHHF649qoteaIwpZeDqxHDrTSb+VYcj4iybz/DtGyR+PV/GdQ0fSfg1jb3aV1SUhIhfFuKG5ItMzuP163zcu7kbNyTjOcaYcFFfuMDxFtwXehA3wR0MjEoVXu/duC+O2Kt7hxJVg+D1Xb0IN5rWE14XoX8DZxtjZkWtV4ZrILpxBW6+sdY+T3KvRTVuVK/Lox7bz0B9SaJG91fAq4wxkbOX3hf0kgTrxxY8Xoo7e/SbBOv/DjjSGHN6zPLwaDq/j4lP30Mi+elW3AAe741Z/iiu4PqTxpiq8ELv70969z2aoZjCB3cbYpaHv8dS7QFyGa4718+9q87hoXurgTuNMetxJ8b+jRv1aayPS7f7cVcAPuu1a3ixzALOBv4ZNapWn3df9HfyNuBwrzA8bKT2PBNn95/AnUD7hDGmImr5RxicJN2PGzJ3WUxtxqcTbPcTxg11D4Ax5r3AkSR+T37n/f5C9AlOY8zrcN3k/hDVNW64LmazcMcXRZ2EqDuW+MJa+29jzFrgau8L+T+4s/WfxtUi/AV39uCvwKPGjU7VijubfxxwubV2tzfy03ZghXfZfQfwJtyXqWVoH9w24HZjzA24ofLOw111OT2qDuMz3vP+y7hRtvZ523s98BmvmHLMvCL4k3GjQY00g3k4poSvhbfNn+Ia+om4LmlTcQ3biyQ+u3YdblStX3mvyy5c/95El5m/4L1nj+IONt4FXGkTT1z1deAM4B4v9mZcceQHgF9Za//krbcbd6n//caY7cAvowsERSS3WWtDxpiLgMeIOp6w1h40xnwGN1T4v40xN3t3XYAbOeqDCWrr0uF+XFea240xN+JOmJyGK5ZvxY34lzRr7fPGmPfgusY+bdxIgk/gipDrgLd4q94UvU+jfVy6ee1meFjedcaNJlaJSwZLcW1NWLj77leMMWuttX/FtUPn4ua/etLbZjLt+ZgYY+bh2rv11tpnrLX9xphP4k5iPWyMuRV3IH8xUV2qrLX7jDGfxQ0d/FdjzM+92D+W4KlqcUMV34YrEv8Mrrtz7FDD4e0/bYz5jrfe/caNijUDt+9tDB66uhVYZIz5f8BDNmoETNzcOQ9GjRBXlHQGUvx0Bm5SvPfi6jeW4sZ8P9Fa22OtfRg4Hndm6LO4iYwqgXOstd+ASEHcu3G1IMtxX6yvwE0y+G2gyhjz+qjn3ICbR6MeN3TeQeA94eECvW2Gn/dR3JjiX8OdOTrdWptoxJHROBJXv/KBkVZM5rXwXIQbBeY43Jfm53BnJt9qB4YVjt32PtxwiPfiko8v4/pLJ5o06VRcQnY9LoE731obOx9L9Pb34BrYn+Je9+tx+34prqtEeL0DuPlPZnmxv3bIxkQkp3mjV90QZ/m9uG45O3FzJq3ADaN+YpyR89IZz39xbc1+3AmRL3kxHAOsAd5q3GSGqWxzPa4IfCWurVkJXIE7gfMZ3DwRtxpj/uCNbjimx6WbtfbbuLmoQrjXZDnupNWxMQfG38ddSf88A0Pd34c7WRQ7q/uw7Xkawj4B116eELUf9wHvxI0o+U1ccrkEN0QzUevdjNvfatxJtzfhalfi+SIu6bgGOAc34MLb7PCTJi7HJT/Tve2fjxux7fXW2pao9b6FOwn3ddwJUAC8Ls6vxg0FXNRKQqHR1gaJSCEzAzOtT/BGIBERkTi8GolzcbUoSV/ZGO3j/GTcHCs11tphC+2zxRjzAvBnGzVjepx1ynHJy1fs4BnTL7LW/sCXQAdi+TjuxNscm2CCyWKh7lgiIiIiY2CtXccIM6Sn83E++z/gIWPMEdbaeMO7S2o+hhtcp6gTEFB3LBERERFJwEuUfsfgegcZBWPMW4GjGToJcFFSEiIiIiIiw7kYOMMYE29IW0neV4ErrLWpzllTkFQTIiIiIiIiviqampDW1n0Js63q6gra2g74GY4vCnW/oHD3TfuVXwppv2pqKoebCVgSGK5tiZXLn5dcjU1xpS5XY1NcqcvV2FKJa7i2JW+TEG8ynZtxM1T2Ax+31m4czbaCwcDIK+WhQt0vKNx9037ll0Ldr2KWzrYlVi5/XnI1NsWVulyNTXGlLldjS1dc+VwTcgowyVp7PHAVcHWW4xERkfyntkVExAd5eyUEN5ncZO+sVRVRM2bGU11dMWzmVlOT0iSqeaNQ9wsKd9+0X/mlUPeriKW1bYmVy5+XXI1NcaUuV2NTXKnL1djSEVc+JyEPAeXARmAabtbOhIbru1ZTU0lr6760BpcLCnW/oHD3TfuVXwppv3K1ocuCtLUtsXL585KrsSmu1OVqbIordbkaWypxDde25HN3rM8D6621dcBrgdu8GTFFRERGS22LiIgP8jkJmQS0e3/vAcYBuVnBI+KjtdvXsHT1Obzz3rezdPU5rN2+JtshieQTtS0iUlAaG4MsWlTBjBmTWLSogsbG9HWEGsu287k71rXAj40xD+EaiRXW2pezHFNBWbt9DXdtvJ1tHVuZU1XLWQuWcOLsk7Idlgxj7fY1XPPIVZHbLe0tkdt670SSorZFRApGY2OQCy+cELnd1BTwbneyeHFvVredt0mItbYNOD3bcRQqHczmp7s23h53+d0b79D7JpIEtS0iUkhuuKEs7vKVK8vGnISMddv53B1LMmi4g1nJXds6tqa0XERERApXc3P8Q/1Ey/3ctpIQiUsHs/lpTlVtSstFRESkcNXV9ae03M9tKwmRuHQwm5/OWrAk7vL6BWf7HImIiIhk2/LlPXGXL1sWf7mf21YSInHpYDY/nTj7JFYceyXzJs8jUFLKvMnzWHHslaoHERERKUKLF/eyalUnCxf2EQyGWLiwj1Wrxl6Uno5t521humRW+KD17o13REbHql9wtg5m88CJs0/S+yQiIiKASxbSkXSke9tKQiQhHcyKiIiISCaoO5aIiIiIiPhKSYhIhmkGcxERERmLTM56ni35vwciOUyTPoqIiMhYZHLW82zSlRCRDNKkjyIiIjIWw81Mns+UhIhkkCZ9FBERkbHI5Kzn2ZTf0YvkOE36KCIiImORyVnPs0lJiEgGadJHERERGYtMznqeTSpMF8kgTfooIiIiY+GKzztZubKM5uZS6ur6WbasJ6+L0kFJiEjGadLHka3dvoa7Nt4eSdTOWrBEr5mIiBSsxsYgN9wwkFQsXz58UpHJWc+zJa+TEGPM5cD7gHHAjdban2Q3IhFJlYYxllyjtkVEMqlQh9xNVd7WhBhj3g4cBxwPvB2Yl814RGR0NIyx5BK1LSKSaYU65G6qSkKhULZjGBVjzNeBEPAqoAq41Fr770Tr9/b2hYLBgF/hSRJWb1nNrY/fyjNtzzCveh7nHXMepxxxSrbDEp+96Udvoj80dISPQGmARy54JAsRFa2SbAeQC9S2iMhY3X03XHMNbNgACxfCihVQXz9wfzAIfX1DHxcMwsGD/sXpk4RtSz53x5oGzAHeC8wFfmuMWWCtjZtVtbUdSLihmppKWlv3ZSTIbMrl/YrtgrNxVzOfv+8y9h57IKkuOLm8b2NRjPs1s+IVtLS3DFk+e3Jtzr8WhfR+1dRUZjuEXJG2tiVWLn9ecjU2xZW6XI2tWOKK7Wr11FNw1lnQ0THQ1aquroKmpqEnL+rq+mhtHfhOKYTXbLi2JW+7YwG7gfustT3WWgt0ATVZjkmSpC44EqZhjCXHqG0RkVFLpqtVoQ65m6p8vhLyELDMGHM9MAOYiGs8JA9oJnEJ0zDGkmPUtojIqCUzu3mhDrmbqrxNQqy1vzfGnAD8E3dF52JrbZwedpKL5lTVxu2Co5nEi5OGMZZcobZFRMairq4/QVerwbWPhTjkbqryNgkBsNZ+PtsxyOictWDJoJqQMHXBkXyluU4Kh9oWERnOcHN8LF/eM6gmJKzYulolI6+TEMlf6oIjhURznYiIFIeR5vhQV6vkKQmRrFEXHCkUww20oM+4iEjhGK7wPJxoqKtVcvJ5dCwRkZyggRZERIpDMoXnkhy9YiIiY5RoQAUNtCAiUlhiC8xHWi6JKQkRERkjzXUiIlIcNMdH+qgmRERkjDTQgohIcVDhefooCRERSQMNtCAiUhxUeJ4e6o4lIoIbZnfp6nN4571vZ+nqc1i7fU22QxIRkSxpbAyyaFEFM2ZMYtGiChobdd4+3fSKikjR0zwfIiISNtJcIJIeuhIiIkVvuHk+RESkuAw3F4ikj5IQSZq6q0ih0jwfIiLFp7ExyFFHMaTLleYC8Ye6Y0lS1F1FCtmcqlpa2lviLhcRkcIzuMtVyaAuV3V1/TQ1BYY8RnOBpJdSOkmKuqtIIdM8HyIixWW4LleaC8QfuhIiSVF3FSlkmudDRKS4DNflSnOB+ENJiCRF3VWk0Gmej/xijCkBPgo8YK3dYYy5AjgT+AewzFr7clYDFJGcNlKXK80Fknl53x3LGHOoMeZZY8yCdG9bhdgD1F2lsOmzLnnoS8APgFnGmBOArwB/A44DvjXWjWeybRGRzEg0t0e85epylX15nYQYY8YBq4DOdG87XIjd0t5CfygUKcQu1oOzE2efxIpjr2Te5HkESkqZN3keK469UmeOC4A+65KnzgE+aq39B/AhYJ219mLgfOCMsWw4k22LiGRGuNC8qSlAX99AofmKFePjLgdYtaqTo46CYDDEwoV9rFqleUD8VBIKhbIdw6gZY1YCfwQuBz5hrd2YaN3e3r5QMDj0slsi9ffWs3nP5iHL50+dz11n3DWKaEVykz7r4inJdgCpMMZ0Aa/0umI1A7dZa682xtQCT1trJ45h2xlrW0QkM446Cp56aujy8nLo6oq//pNPZj4uSdy25G1NiDHmHKDVWnufMebykdZvazuQ8L6ah8icXwAAIABJREFUmkpaW/cNWtbcuon+OAla865NQ9bNVfH2q1AU6r5lY7/8+Kzr/cp9NTWV2Q4hVc8ArzfG1ACvBP7kLT8N2DLajaazbYmVy5+XXI1NcaUuV2PLdFwbNkwi3vFuV1co7vING0K0tu7P2dcLCuO9HK5tyefuWOcBJxtjHgCOBn5qjDksXRtPVHCtQmwpNLn+WVe9iiTwLeAeYB3wN2vtY15x+vXA18ew3Yy2LSKSHrF1HocdFr9nz/jx8R+vOT+yL2+TEGvtCdbaRdbatwNPAB+z1r6Qru2rEFuKRS5/1lWvIolYa38CvAn4CPAub/HDwCJr7aj7EWa6bRGRsYtX//Hcc/EPaZcsORh3uQrQsy9vu2NlmuYNkGKRy5/14SbJzIX4JLustf8xxrwIvNkY8wjwH2vtrmzHJSKZlWiiwZkz+5k8OTRkbo83vrFPc37koIJIQrwzVmmneQOkWOTqZ73YJslcu30Nd228PZIMnrVgSU6+L7nAGDMe+B5wLtAP1AHXGWOqgA9Ya9vH+hyZaltEJDWNjUFuuGEgibA2/lWPF18s4fHHh04RpDk/clPedscSkcKX6/Uq6aSuZyn7EvBG4K1AeOybbwKzSMM8ISKSG+J1vervjz/gkuo88ouSEBHJWblcr5Juw3U9k7g+DHzGWrseCAF4c4Z8HHhfNgMTkfRJ1PUqHtV55JeC6I4lIoUpl+tV0q3Yup6lweHAtjjLXwQm+xyLiGRIc3P88+WlpSEWLOhXnUceUxIiIjktV+tV0m1OVS0t7S1xl0tcjwOnA9/2bofH51wKaAoykQJRV9dPU9PQCUEXLOjngQeSn6dHco+6Y4mI7zT3x1DF1PUsTS4DvmaMuQcYB1xmjPk78CngiqxGJiKjFjv/x/HH98VdT12v8p+uhIiIr8IF2GHhAmygKK54JFJMXc/SwVr7oDHmeOD/AZtxRepPA5+01v43q8GJyKiEi9DDmpoCNDUFuOCCHtavD6jrVYFREiIivtLcH4kVS9ezdLHWPgHEv4QkInknURH6+vUBdb0qQEpCRMRXKsCW0TLG/DDZda21SzMZi4ikX6Ii9ETLJb8pCRERX6kAW8ZgfrYDEJHMSVSErvk/CpOSEBHx1VkLlgyqCQlTAbaMxFp7YrZjEJHMWb68Z1BNSJiK0AuTkhAR8ZUKsGW0jDHHAY9Ya/u8vxMJWWsf9isuEUkPV2zeycqVZSpCLwJKQkTEdyrAllF6CDgM2OX9HQJK4qwXAob26RCRnLd4ca+SjiKhJERERPLFXKA16m8REclTSkJERCQvWGu3Rd38ErDMWrsveh1jzCHAj4Az/IxNRERSoyRERETygjFmAXCod7MB+I0xpi1mtaOAU30NTEREUpa3SYgxZhxwK1ALjAe+Zq39bVaDEpGcsnb7Gu7aeHukAP6sBUtUi5Lf5gG/9/4OAY0J1vvuaJ9AbYuIvxobg9xww0Ah+vLlKkQvFnmbhABnA7uttUu8y+9PAGooRARwCUj0UMAt7S2R20pE8pO19o/GmFlAKbAdeB0DNSLgEpN9sV20UqS2RcQnjY3BQUPyNjUFvNudSkSKQEkoFMp2DKNijJkElFhr9xljpgL/stbOS7R+b29fKBgc22Apq7es5tbHb+WZtmeYVz2P8445j1OOOGVM2xSRzKi/t57NezYPWT5/6nzuOuOuLESU8+KNMlV0stG2iBSLu++Ga66BDRtg4ULYuxeefXboekcdBU8+6X98khEJ25a8TULCjDGVuLNUP7LW/izReq2t+xLuaE1NJa2tw584iz2rGrbi2Ctz9qxqMvuVrwp131Ldr3zpbpSN9+ud976d/jjfb4GSUv78wbVpeY5C+hzW1FTmVRJijJkILAPeApQR09BZa8d0higdbUusXP685Gpsiit1uRRbdFerww8viZtwxBMMhti5c39mg/Pk0usVK1djSyWu4dqW0rRFlAXGmFcAa4Hbh2sk0uGujbfHXX73xjsy+bQiCYUT45b2FvpDoUh3o7Xb12Q7tJwwp6o2peWSd34IXA4cBHYCz8X8jJqfbYtIoQp3tWpqCtDXl3wCAlBX15+5wCRn5G1NiDFmOrAa+JS1NuNHXds6tqa0XCTThkuMc/FqiN/OWrAk7tXL+gVnZyEayYD3AR+y1v45nRv1u20RKVQ33FA26scuW9aTxkgkV+VtEgKsAKqBK4wxV3jL3mWt7czEk82pqqWlvSXucpFsUGI8vHAidvfGOyLd1eoXnK0ErXB0A0OLfsbO17ZFpFA1NyfX2WbmzH4mTw5FRsdatkyjYxWLvE1CrLXLcP2BfaGzqtkXXf9QVzOfD8ytL+oDSiXGIztx9klF/RkpcHcCy4wxn7HWpq240e+2RaSQRNeABIPQ1zfyY668sltJR5HKWBJijFmR7LrW2msyFUe66KxqdsUODLB5z2au2VXcw62mmhjnSxG7SJIm4obTXWyM2YK7MhIx1sJ0ERlZdNIxfXqInTsHrn4kSkBmzernhRdKdNVDMnol5ONJrhcCcj4JAZ1VzSbVPwyVSmKsOTOkAAUAjbUskiWxc3zs3Bl/EKTx40P09cHChSVcfLHm/5ABGUtCrLVzM7VtKT6qf4gv2cRYSZwUGmvtudmOQaSYJVt43tcHO3fu94Z1VQIiA3yrCTHGBIHpuLNX4MZ0Hw+80Vp7p19xSH5S/cPYKImTQmSMOQp4DfHblWSvxovIKCRbeK7hdiURX5IQY8w7gduAmjh378MVGOYl9bP3hwYGGJtiSuL0P1kcjDGfA74F9OOSjxBu7qse4C9ZDE2kYETXfNTV9XP88X2sWxdIqfBcw+1KIn5dCfkG8AhwA24G2npgFnAl8A6fYkg79bP3T2z9w/yp81lce6Ze5yQVSxKn/8micjFwFfA1YAfwOqASVyfy3SzGJVIQYms+mpoCNDUFIrdVeC5j5VcSciSwxFr7X2PM40CPtXaVMeZlXFH6Yp/iSCv1s/dXdP2D61u6L8sR5Y9iGd1N/5NFZSbwU2ttrzHmCeBYa22jMeZSXGJyX3bDE8lvydZ8hAvPlXRIqvxKQg7iul0BbML14b0f+DvwPZ9iSDv1s5dsGU2Xo2IY3U3/k0WlHSj3/t4EvBpo9P5+bbaCEsln0d2vkulqBQOF5yKpSq6qaOweBc7z/n4KCB8J1eH67+alRP3pC7GfveSOcJejlvYW+kOhSJejtdvXZDu0rNP/ZFF5APi6MWYG8E/gg8aYycD7gJeyGZhIPgp3v2pqCtDXV4IrtRqZCs9ltPxKQr4MXGqM+SyuCP0tXresX+BqRPLSWQuWxF1eaP3sJbeEuxyFQiE6ejp4pn0LG3b/l0/cfz4X3X8B3/jn17h74538+4V/0tnbmeVo/aX/yaLyOWAursbwHlyB+h5gJa7+UERSkGz3q1gqPJfR8qU7lrX2AWNMHVBmrW01xpwALAV+BnzHjxgyoVj62Uv29Yf62daxlQ27n+Yfzz9M58EDHOg9wMH+g5F12rr38MtNPx/0uEBJgBkTD+fQikM5tGI6NRXTmV4xHXPIAuqqFzBvyhGMD4z3e3cyJtX/SY2klb+stduAo4wx5dbaHmPMW4F3As9aa/+V5fBE8kJy3a9CBIPuisdxx/Wxfn0gMlqWakBkLHybJ8RauyPq7/8Cn/HruTOpGPrZi7/2drXRtGcDG3b/lw273e+m3Rs40PtywsdMCE6ghBK6+rroDw1cGu8L9bFj/7Ps2P9s3McFSgLMqaplfnUdr6iczeGTZlE9vpqq8VVMGldJ1fgqKsdVudtllUwMTqSkJLlL9NmS7P+kRtLKb8aYw6P+Dv/5j/B91tqd2YhLJJdFJx3Tp4fYuXPkDjELF/bzwAMHfIhOio1f84Rswo3hHpe1ts6POERySW9/L1v2bvaSjafZsPu/bGzbwLMd8ROGaCWUMD4wnklllUwtn0Z5sJwVx17J8TPfxo592/nN5kZ+8vQtdHpXSw7299Lbf3BQggIuSXmmfQvPtG9JKubSklIqy6qoHFfpfpdVUllWScW4iYRCIfpD/fSH+rzf/fTTTygUYmplNWX9E6gcX0VVWfhnMlMnTGXGxMOZMWkmU8un+prgaCStvLeDYdoVBiYwFBGGDrm7c2dy37fqbiWZ4teVkDviPG8dcCpurhCRgtIf6qe7r5uevm66+rp5uWcf2/dtjyQbG3Y/TfOejfT0j/zlPmPi4Syc+ioWTn115PeOfdu5t/meuF2O5k15JU17nubQiulDtjW7cjZfeNMX2bhnA81tlk1tlua2Zlrat3Cgd+QzXf2hftq799LevTf1F2UEE4ITeEXlbGZXzmHO5FrmTT6CeZOPYO6UI5hdOYdgaXq/rjSSVt47MeZ2uF35rPcjIlGSr/kY6H6l7laSSX7VhHwl3nJjzEXA/+AKCSWDCrXve+x+fbjuI7xl5vF093XR09dDV6/73d3fTbf3d5d3X3dfF9193QPJQq/77dYdSCB6+rq9dXsi2x38uOjtud/RtRrJqghW8Orpr6au6shIsnHk1IVUlx8yZN0jpy7k5NpTE24r0YH0c/t3UHeIoe4QM2h5KBRiT9cenn95Jx3d7ew7uC/ye193B/t69tHR086+nn3s6+nw7u/w7m+ns7eT0pJSSkpKCZQEKC0pobSklNKSUkKhEC/3vkxXb9ew+9/Z20lzm6W5zQ65L1gadN3GptTxyuo66qoNr5wyn1dOmc+U8upht5tIMc0iX4istX+Ls3iNMaYFNxjK7/yNSCQ33H03XHVVRaTLVUkJvPBCSdJD7qr7lfjFt5qQBP4IXDuaBxpjSnFzjLwW6AYusNZuTmNsBaOQ+r739fexfd821u/eys+e+Dn3bf0jXb1dHOzr4fFdj/Hrzb/KdohJqa2aO+jKxsKpC5lTNZfDpk9JyySMqR5gl5SUMHXCVKZOmDrm546npqaS517YTUdPh0tmujvo6OmgtXMXz+9/np37d7Bj/w6e3bedbR1b2dfTMejx4a5rW/Zuhq1/HLztCYcyv7qOV06po666jvnVhrpqw+GTZg7bvatYZpEvQs2MYZ4QtS2Sz1yXKwj3Rky2y1U0db8Sv/g1RG8ipwMdI66V+LHl1tq3AJcB1w23ckNDPV//+sABx7p1f6ehoZ6//e2vkWXXXnsNDQ31HDzozmK3t7fT0FDPTTcNjPb4pz/9noaGeh5//NHIsiuuuIyLLjo/cvvZZ7fT0FDP7bf/OLLsnnvupKGhni1bBtqyZcsu4gtfuCRy++mnn6KhoZ7f/OaXkWU/+tH3aWiop7W1NbLs3HM/wtVXfzly++GHH6KhoZ61a/8SWXbddd/gtNNOo7u72/V974bAz0soXTfwhXTzvW7bjz46MJDMl750ORdeeE7k9nPP7aChoZ7bbrslsuwXv7iLhoZ6Nm0aOGN9ySUXc+mlyyK3m5o20NBQT2PjvZFlt9zyAxoa6nnxxRciy84//2y++tWBHnmPPPIwHz33g9z2x1u4f+ufueWpVbznOyfzmq/N520/exO1PzqMY+88mtPvOZ2f25/R3r2X7r4u+snsOOUl/SWUl5QztXwqh0+cydSSqUw6MIkjpyzkjYcdy1tnnsChHYcyt3sep7/yA5xpPsKpNe9hzgu1vKf6fVz2pi/yf4tWck7veZz8r1NYu3g9P3nXnXz6NZfwi6t+xm9+/CsCpa7RWLNmNQ0N9TzyyMOR5//qV6/k/PMHDo5ffPEFGhrqueWWH0SWNTbeS0NDPU1NGyJD1Qb+UELgdwPv+dsnnERDQz2/+MVdkWW33XYLDQ31PPdcZOwILrzwHL70pcsjtx999F80NNRz330DCcB3v3s9DQ317Nvnkqbu7m4aGuq57rpvRNZZu/YvNDTU88ADD1AWKGPahGncdePt3PCFa3nbrEV8YP6H+PCss9hx83beuuNt/PXDD7H5/Ge5/rDv8Oan38IXzP9yyes/x/uOWMwhPYcQ6B/azb+1cxfrdz7ETzfcyhfXXcaZv1/MMbcvZO6PDufkXyziDVe/mvd88x38dnMjG3Y/zSOPPkxDQz1dT3ey4tgrmTd5HoGHSxl/7ziWv+pznDj7JA4ePEhDQz3XXntN5Hn+9re/0tBQz7p1f48su/zyy2loqI/c3r37JRoa6lm16qbIst/9rpGGhnqeeurJqMf9Pz796aWR2y0tz9DQUM9ddw3Uqdx55200NNSzbdvWyLKLL76A//3fSyO3n3zycRoa6vnDHwZGOv/+979DQ0M9bW17AOjr66OhoZ5vfvOrkXUefPBvNDTU8+CD8S4m5AdjzOFxfhbgroIMzcCTl1LbIpJLRjPM7qxZ/QSDIRYu7GPVqk51vxLfZLMwvRI4FPjSKDf7VuDPANbafxhj3jDcyqWlpYwfH6SmphKAqqoJBAKlVFW5Iq2amkrGjw8SCJRSU1PJuHHjGDeuj0CglAkTyiKPq6wsJxAoZfLkCZFlZWUBgsHSyO2XX55IIFDKxInjI8smThxPIFBKdXVFZFkwWMq4cYHI7SlTKggESpk0qTyyrKKijECglKlTJ0aWBQKJ9yW8rLx8HADTpk3iuQPPEgy6fLOkFEqD7qC07eAeDgscxpQpFVH7EiQYHIips9PtS0VFWZx9GYhp3LjAoMe98EJ4XwZeg9LyEF0VnWw5uAHb+h9e2P8CduZGtla10HxfEzs6drCtbRv737if+7euhq3emxcEDoEX974Y970tD5ZT3llO6e5SSg4tIVAZ4KOv+SgPPfAQ+/fu52Mf/RjlwXIO7DvAPXfewzGvOYbT3nUa5cFyHnzgQR5c+yCfvujTLDQLKQ+Wc8XlVxAIBfjed79HebCc5qZm/nfF/3LmmWdy9tkuEbjxxhu571/38f1Pf59Zs2YBcMYZZzBnzhyu/+j1AKxbt45v/OkbLH33BZz2rtMAuHrd1bxUsotp0yYxadIkDhwIEAiUUl4+btjPWPRnE6C3d/+Qz+akSQOfsRNeczpTplRw1f1X0dXTxZHT6zj36HN5Rc8ruD/wx0GfzfBn7JBDJkZ9NgOUlQWHfDYrK8sHfcYCgVKmTZtEVVUlXV3jhuxL+LMZ/h+Lty/9/QeGfMZmTK5hWudU6hd8kKOPPhqACy+8kAOdB/jqd77Kxpc28vcNf+fO++5kwism0BZsY9fLuwZ9Lg70vsyTrY9DNWxnO/9a/U/3P0AJ5UeX83zrTha1LuLkupN4bNtjtLzcwvuOOpVDqis5ePBgUv9nwKB9gS7vfRkX9b6493O4/7P29sT/Z8m8L9H/ZxMmhL8zJjF1aiV9fX3evkS/L+XevpQP2pc8E68wvQTYD4zlclZKbUt1dQXBYPI18Ln8eudqbIorec3Nya0XDMLChXD55VBfHz4fHQAmDPewMcvF1wxyNy7I3djSEVdJKDTc4CLpYYz5MkMbix7gYWvtA6Pc5s3AL621f/JubwfmWWvjpvCtrfsS7mhNTWVausDkmvB+LV19TtyuOfMmz2PVKT+O88jkdPZ2srvzJffT9RIvdb7E7s7dkdu7O71lXS+x68AuXj64f9TPVR4oZ05VLUd4dQBvrD2GW//9Y17q3E1pyeALemPdr2zK5mcxk3VDfuxXW9ceNrVt8ortLZv3NtPcZtnesY3QsIMoDZgQnEBt1TzmTnY/tZPnRv4+fOLMyNWqsEL67qipqcztsZdjGGPeTvx25Slr7ai/bNLZtsTK5c9LrsamuEYWPexuMAjd3cP/Ky9c2JeVmo9ces2i5WpckLuxpRLXcG2LX4XpX87AZjtwV1PCShM1EsVupL7vff19tPfsZW9XG23dbbR17aGtq4293W20dbXR1r0nsqytaw97uvbwUudLw85bkapDyg9hxsSZHD7p8Mjv2VVzmF1Zy5yqORxaMX1Q//6amkrKDk5Sn/408btuKBMJT3X5IbxpxrG8acaxg5Z39nbS0v4MW/ZuYnPbJjbtbXZ/7908pPaks7eTpj1P07Tn6SHbLystY05V7aDE5OjZr6aaw3jFpNmMC4wbU/ySmuFOYBljKqy1oz3KUtsiOW24uT6SKT5XzYfkiowlIcaYjyW7rrX2p6N4inXAacDPjTFvBp4axTYKSldvVyRxaO/eS//uLra3Pk9bVxvzJh/BE62PsberjXGl45hUVsXn/34JezM03CrApHGVTJ0wlWkTplFTMZ1DJ0yPzNztfsKzeB/KhGDql4A1Y336+Dlnht8Jz4TgBG8AgFcNWh4Khdh14EU2793Elr2beaZ9C1v2bmJrewtbO1ro7usetH5Pfw+b9jazae/Q/g6BkgCzKl/hrp5UzWVO1VxqJ891SUtVLZPKcvNyer4yxhwHXIzrOnUo0A48AtxkrV0N/J8xZqu19luj2LzaFslZyc71MX58iL4+Bo2OpSF3Jddk8krILTG3S3H9dffhLplPBfqA54HRJCGNwMnGmPXeds8dfai5IxQKsa+ng7butsiVifDv9u69A1covOXt3Xsjf3f1DT8EarRdnbtGXilKoCRAdXk11eMPobr8EKZOmMa0CdOYWj7NG1XJ/T1twjSmTpjGIeVTKQ+Wp7r7KdOM9enh55wZuTJJYElJCdMnHsb0iYdx/My3DbqvP9TP8/t30tLxDC3tz7C1vYWW9mciP7FXAftCfWzr2Jrw9ZpaPjWSlLifuV6yUsthE2cM6eYliRljLgOuxo2C9UdgN1ANvA34kzHmZ8C7gNeM8ikKsm2RwpBs4XlfH+zcOfou0CJ+yFgSYq2N9E3wrop8Cmiw1jZ5y2qB24Dfxt3AyNvvBz4x9kgzo7e/l73d4S5Oe9jb1eZue1cqon9HX73Y272XvlCSg3mPQrA0yJTx1VSPr2ZK+dDfU8ZXUx3+Pb6ayeVTmFo+lcqyqiG1F1I4/JwzIx8mCSwtKWVm5SxmVs7irTNPGHRfKBRiV+cutra3sLt/J//Z8bRLVDpcorI3zpXF3V272d21m0df/PeQ+8pKy3hF1Wzvqom7ijKnqpa5k+cxp6qWinEVGdvPfGOMORm4Cvi4tfbWOPefB/wIuNZa+/xoniPX2xYpbs3NybXDdXWZHTFSJB38mifkGuD94QQEwFq71RizDFhNjg+B+MLLz9N6YJeXROyNJAvRiUXkt3fVIravebpNGlcZSRamjJ/iJRBTmDK+msnjp1BdXs3smhmUdpdH3TeFSeMqh507QYqTn3Nm5PskgSUlJUyvmM70iumuOG/m4OK8vV1tkasiWyO/W9jWsZXn9j075CRDT3/PwBwocRw+cWZUofzgovlJ4yZlbD9z1GeB6+IlIJ65wAFg2BGtRPJVXV0/TU0jXzlV3YfkA7+SkEmEZ84ZrMrHGEblK+uv4KYnMjOhe2lJaSRxGEgoqplSPiXB1YpDmFJezeSyyUkVwebqqArFIp9mqR9tfc1o9rHQJwmcUu7+X1976DFD7jvYd5Dn9u+IJCWRZMWrQ4l38mLny8+x8+XnWLfzwSH3Ta84jCOmvNL7mc8pc07lldXzM7JfOeL1wKXD3H8G8Eng2/6EI5J+0YXndXX9HH98H+vWBSKF6PHMmtUfqfu44ooAJ52kug/JfX4lAH8EfmSMuQh4DNfP9jjcrLT3DvfAbHts19DuE7HGB8a7qw/xujZF/h6cbFSXV/vaxSmfDogLQT7OUp9qfc1o97GYBxQYFxhH7WRXtB4rFAqxt9tdRYnUoXg1Kc/s3UJrnDquFw+8wIsHXmD9zocAuPofX+Y/Dc1MnTA14/uSJeW4eUASeRVQC6Q+Y5tIFoUTj40bSwmFBnorNDUFBl35CBeiRycdscXm7gSkf7GLjJZfScjFuGTjIQbGdS8BfgMs9ymGUfnO/3yf3275NcGSINXlrqtTOKEId4MazchOfsrHA+J8lyvF15k0ln3UgAJDlZSUUF3uBn44+tDXDbl/f88+Wjpa2No+kJi4Eb02RxKUinETKfDelhZYxMBUpoPvtDbkzR+y0ceYRMYkdsSrZFRVhXjssfQNky+SDX7NE9IGnGSMORJ3pioEPGmtjd8JOofMqarl08fkdJ40omI4IM41+VB8PVbFsI+5ZFJZJa+ZdhSvmXbUkPs6utvZ2tHCnKpaJo+fkoXofHM7cLUx5gFr7bbYO40xRwBfA77qe2Qio5TsiFfRki1QF8llmZwn5HBr7c7w397idmB99DoA4fUkM3Sw6L98L75ORjHsY76oGj+Zo2qOznYYfrgReB/whDez+XpgL3AIbs6Qc4EHrbU/yF6IIqkZTUKh0a+kEGQylX7WGHOo9/cO4Nk4P+HlkkGJDgp1sJg5Zy1YEnd5oRRfQ3Hso+QWb/jcU3GF5x8FfgmsAX4BfBj4FnB61gIUGYXRJBQa/UoKQSa7Y/0PsMf7+8QMPo+MoNBHI8pFxVB8XQj7qAEb8o+1the4yhjzNWAeMA14CdhirY0/dJBIjokeASvRiFelpSEWLOjnuOP6WL8+EBktS7OeS6HI5GSFf4v3d5gxZpq19qVMPb8MKISDxXxUDMXXY93HbCYBGrAhv3lXRTZ7PyI5LTbp2LlzoCNKMiNeiRQiXwrTjTHVwLXASqAJ+DNwojFmM/CefChQz3fFcEAs+SXbSYAGbBARP8SOfhVOOmJpxCspNn4Nr7ASNy9ID/BB4HigHvgvmlRKpCgNlwT4QQM2iIgfkh39SiNeSbHx6xP/bqDBWmuB04A/W2t/AXwROMGnGEQkh2Q7CdCADSLih2STC414JcXGr8kKy4EXvL9PBr7k/d3v/YiMKLp+oK5mPh+YW69uM3kslSF+M1E7ogEbCoMxZjpwJPAIUGmtHTq1vEiGRdd81NX1c/zxfaxb54rJg0Ho6xt5GxrxSoqNX0nIE8B5xpgXcSOZ/MEYUwZ8Hnjcpxgkj8XWD2zes5lrdqmIOJ8lmwRkqnZEAzbkN2PMeOB7uLlB+oE64DpjTBXwAWttezb7E9pAAAAgAElEQVTjk+IRW/PR1BSgqSkQuZ0oAVEhuhQ7v5KQzwG/wSUg11prtxtjvo+bdOpUn2KQPKYi4sKTbBIwUu3IWK6QaMCGvPYl4I24SQpXe8u+CdyGmy/kwizFJQWusTHIjTfChg2TqKvrp6MjfqF5rPHjQ/T1oaRDxONLEmKt/YcxZgYw2Vrb5i3+FnCptXZ/qtszxkwG7gCqgDLgs9bah9MWsKRFOrvQZLt+oFBle56MZJKARO/xUy/9h2c0xG4x+zBwgbV2vTEmBJG25uPAPYwiCVHbIjB816rBw+uWDLriMZK+Pti5M+VDHpGC5edQDKXAKcaYLxtjDgFm42pFRuOzwBpr7SLgHOCm9IQo6RLuQtPS3kJ/KBQ5QFy7fc2otqci4vRL93uUKYne487ezrjL/RpdS7LucGBbnOUvApNHuU21LUUu3LWqqSlAX59LMm6+uSxyO3p+j1Sp8FxkML/mCZkB/BWYCVQAP8V92R9rjPkfa+2GFDf5baDb+zsIdI30gOrqCoLBxGcsamoqUwwhP2Rrv371t7sJBod+WTduvYcPv/70lLd30ZsvZMWaFYOWBYOlfOLNSwvuvfNrf9L9Ho1ktPsV770HmFhWETf+5zqf9fUzUWifvzzyOHA6A8O8h6edXgo8Ocptpr1tiZXLn5dcjc3PuG68MXPbvuKKgG/7ovcyNbkaF+RubOmIy6+akOuBp4GjgfAs6R8F7gb+DzeEb1zGmPOBS2IWn2ut/Zcx5jDcpfPlIwXQ1nYg4X01NZW0tu4baRN5J5v71dy6if5QaOjyXZtGFdMxVW/h86//YqR+oO7Q+SyuPZNjqt5SUO+dn+9Zut+j4Yxlv2Lf+3DtyF0bb487utbsybW+vYaF9N2Rqw3dMC4D/myMeTMwDrjMGHMkcCzwnpEe7EfbEiuXPy+5GpvfcW3YMAlIrsYj2syZ/UyeHIp04TruuD7Wrw9Ebi9b1sNJJ/XS2pr+mGPpvUxNrsYFuRtbKnEN17b4lYScCJxire02xgBgrd1vjLkMeHC4B1prbwFuiV1ujHkNLon5nLX2b+kPWcYileFXkxVdP5Cr/5j5JBPvUaYkqh3RELvFy1r7oDHmeOD/AZtxRepPA5+01v43icerbZEh6ur6U6rzCLvyym4VmoukyK8kZAJwMM7y8YzilIMxZiHwC+BMa+1oL7tLBmkOhtyX7++RhtgVa+0TwJJ0bU9tiyxf3jNouN1EZs+GnTtDGulKZAz8SkLuB75gjDnXux3yRiH5OrB2FNv7Oq6ofaV3ZaXdWvv+tEQqaaEDxNxXCO+RhtgtLsaYHya7rrV26SieQm1LkXPJRCcrV5YN27Vq6dIJtLZqpCuRsfArCbkEl2w8h7sq0gjMBXYD70h1Y2oU8kO6DhDjDSP74Zr0F04XIx3ES56Zn+R6Q4udkqC2pfjEDse7fLm7qqErGyKZ59c8Ic8aY44CPoIrTu/B9d29EzgJeMaPOGT0sjWfRKLZsqdMqeCYqrdk/PlFJHdYa0/MdgySv+LN/3HzzWWR+5uaAl5XrE4lISI+yGgSYoz5EHAm0Avcbq29Oeq+Q4GfAB8CUq8CE98kSgQg85PCJZot+8dP/JhjTlASEk+2JyAU8YsxphKoB14D9AOPAb+w1safREaKRjIJR6IC9JUry5SEiPggY5MVGmOW42atfS2ugfitl5RgjDkTaALeD3w5UzFIeiRKBPyYFC7RbNnPtOniWTz5MgGhyFgZY14NbAKuww3L+1bc5IJPG2PmZDM2ya5EEw4mq7nZz3mcRYpXJq+ELAW+a61dBmCMuRQ3jvt04DvAQ8DHrbU2gzFIGiRKBBItT6dEw8jOq56X8efOR8MljLoaUriK9OrXd4GHgQZrbQeAMaYauN27731ZjE18FHvVo6Mj9Xk+omlmcxF/ZDLdnwP8IOr2jbirIlcDlwKLlIDkh0TzRvgxn8RZC+KPvnnu0efGXV7sspkwSnYU8dWvNwErwgkIgLW2DTeJoWpHikS8qx7PPTe2Q5tly3rSFJ2IDCeTScgE3OhXAHh9dLuAr1prr7PWjmr0EvFfokTAj/kkTpx9EiuOvZJ5k+cRKCll3uR5rDj2Sk454pSMP3c+ymbCKNmRze6SWbYVODLO8sOBnf6GItlyww3Jd7OK54ILeli4sI9gMMTChX2sWqWidBG/+DVEb1gI+I3PzyljlO35JDSMbPLyfQJCSV0RX/36BnCTMWYW8HfchLhvAL4G/NAYc0J4RWvt37MTomRaKvUbF1zQM2S+DyUcItnjdxIC0JeF55QxUiKQH7KdMIr/EtVNFcHVr9u83zfEue8rUX+H0AiMBauurj/uKFczZ/YzeXJICYdIDst0ErLMGPNyzPN90hizJ3ola+01GY5DpGgoYSwuRXz1a262A5DsW768x5vbY7Arr+xW0iGS4zKZhGzHTU4Y7QXgjJhlIUBJiIjIKBTr1S9r7bZsxyDZ5xKNTlauLNNVD5E8k7EkxFpbm6lti4jIgGK8+mWMmYs7gfVqYHzs/dbaOt+DkqxYvLhXSYdIHspGTYiIiMhY/RSYCfwc0AzpIiJ5RkmIiIjko9cBb7PWPpbtQEREJHVKQtKkSGcsFpE00vdISjYBFdkOQvwTOzP68uWq/RDJZ0pC0iA8Y3FYeMZiQAcQIpIUfY+k7FPAjcaY64FngP7oO62167MSlYxZdLKxcCF86lPuUCV6FKympoB3W5MLiuSrvE5CjDELgEeA6dbarmzFMdyMxTp4EJFk6HskZQtwM6b/JM59Y5obJFfalmLU2BgclGw89ZRLPmbO7I+7/sqVZUpCRPJU3iYhxpgq4DqgO9uxFPGMxSKSJvoeSdlXgFuAG4GXR1g3abnUthSjG24oi7v8uedK4i5PZcZ0EckteZmEGGNKgB8CK4DfJPOY6uoKgsHEJ8ZqaipHHU9dzXw279k8ZPn8qfPHtN10yPbzZ1Kh7pv2K7+ka79y+XskR00GvmWt3ZquDWaibYmVy+9lLsTW3JzonvhJyMKFJVmLOxder0RyNTbFlbpcjS0dceV8EmKMOR+4JGbxNuBua+2TxpikttPWdiDhfTU1lbS27ht1jB+YW881u4bOWLy49swxbXesxrpfuaxQ9037lV/SuV+pfI9kooA9Vxu6YfwGOB24YTQP9qNtiZXL/wfZiC1eoXldXRlNTUOTupkz+3nuuaFXPS6+uJPWVv+7Y+m9TJ3iSl2uxpZKXMO1LTmfhFhrb8Fdco8wxmwGzvcakcOA1cAJWQgPKN4Zi0UkfZL9HlEBe8R24BvGmDOAzcDB6DuttUuHe3A+tC2FLLb2I1xofsEFPXGTkCuvdL3jNDO6SOHI+SQkHmvtK8N/G2O2AqdkLRhPMc5YLCLplcz3iArYI94MPOz9XZuODeZi21KoEtV+rF8fYNWqzkiysXBhCRdfPDAClpIOkcKRl0lILtG4/iLiJxWwO9baE7Mdg4xeooLy5uZSFi/ujSQbrtuHEg+RQpT3SYi1tjZbz61uEemnpE5keHOqamlpb4m7vNgYY2qAOgaG4y0BxgNvtNZePZZtZ7NtyScjTSCY6P66uv643a7q6uIPxSsihUdj243BcN0iJHXhpK6lvYX+UCiS1K3dvibboYnkjLMWLIm7vH7B2T5Hkl3GmCW4upAHgbXAA8BfgT8CZ2UvsuIRrutoagrQ11cSqetobAyOeP/y5T1xt7lsWfzlIlJ4lISMgbpFpJeSOpGRnTj7JFYceyXzJs8jUFLKvMnzWHHslcV4xfB/gZ8CRwB7gdcD78bNnn5uFuMqGonqOlauLBvx/sWLe1m1qpOFC/sIBkMsXNjHqlWa/VykmOR9d6xsUreI9FJSJ5IcDYQBwFzgfdbaFmPME8Dh1to/GGM+B3wdeEd2wyt8w9V1JHN/dO2HiBQfXQkZA3WLSK9EyZuSOhGJ4wAQLiDYBLza+/sJ4C1ZiajIJKrfCC8f6X4RKW5KQsZA3SLSS0mdiKRgPXCpMaYceBw4zVt+LNCRtaiKyEh1Har7EJHhqDvWGKlbRPpo0kcRScEK4D7cRIU/AFYYY14CqhjlLOqSGteVqjPhBIIj3S8ixU1JiOQUJXUikgxr7ZPGmHnARGvtPmPMm3GjYj1rrf1FlsMrGiPVdajuQ0QSURIiIiJ5yVp7ADhgjAkCM4CfW2t3ZDksERFJgmpCREQkbxhjlhhj/m2Mme3dXojrkvUvYKsx5mZjzNBZ8EREJKcoCRERkbxgjPkw8BPgv8DL3uLbcXUgpwLHA8cBy7MRn4iIJE9JSJ5Zu30NS1efwzvvfTtLV5+j2cRFpJh8BrjCWnuOtXa3Mea1wDHAd62191trHwG+iCYrHLPGxiCLFlUwY8YkFi2qiMyCLiKSLvpWySNrt6/hmkeuitxuaW+J3FYxt4gUgaOAC6JuvwMIAb+LWvYf3CzqMkqNjUEuvHBC5HZTU8C7rRnNRSR9dCUkj9y18fa4y+/eeIfPkYiIZEUpED3JxAlAO/Bo1LLxQJefQRWaG24oi7t85cr4y0VERkNJSB7Z1rE1peUiIgXmaVzdB8aYKuAkYLW1NhS1zmJczYiMUnNz/EODRMtFREZD3bHyyJyqWlraW+IuFxEpAjcB3zXGHIVLRibgTUxojJkCfAi4HLgoaxEWgLq6fpqahg4wVlfXn4VoRKRQ5eVpDWNMwBiz0hizzhjzL2PMu7Idkx/OWrAk7vL6BWf7HImIiP+stT8FPg+cCASAM621//Duvhq4EbjeWy9lxdq2xFq+vCfu8mXL4i8XERmNfL0SsgQYZ6093hgzEzgT+FOWY8q4cPH53RvvYFvHVuZU1VK/4GwVpYtI0bDW/hD4YZy7vg5caa3dPYbNF2XbEssVn3eycmUZzc2l1NX1s2xZj4rSRSStSkKh0Mhr5RhjzF24Pr/HASXAp621W4Z7TG9vXygY1PxVIiIJlGQ7gGxT2yIiknYJ25acvxJijDkfuCRmcStu9JP34kZH+bH3O6G2tgMJ76upqaS1dd/YAs1BhbpfULj7pv3KL4W0XzU1ldkOwVd+tC2xcvnzkquxKa7U5Wpsiit1uRpbKnEN17bkfBJirb0FuCV6mTHmbuD33ogofzPG1GUlOBERyUtqW0REsisvC9OBh4B3A3gz5m7PbjgiEmvt9jUsXX0O77z37dTfW8/a7WuyHZLISAq6bdEs6CKSS/L1G+hHwPeNMf/A9TX7RJbjEZEoa7ev4ZpHrorc3rxnM9fscrc1kILksIJtWzQLuojkmrxMQqy13cB52Y5DROK7a+PtcZffvfEOJSGSswq5bRluFnQlISKSDfnaHUtEcti2jq0pLReRzNIs6CKSa/TtIyJpN6eqNqXlIpJZiWY71yzoIpItSkJEJO3OWrAk7vL6BWcP+7joYvalq89RMbtIjNEWl2sWdBHJNXlZEyIiuS1c93H3xjvY1rGV+VPns7j2zGHrQWKL2VvaWyK3VUciMrbics2CLiK5RkmIiGTEibNPiiQPyUxspGJ2keGNtbh88eJeJR0ikjPUHUtEcoKK2UWGp+JyESkk+uYSkZygYnaR4am4XEQKiZIQEckJoy1mFykWKi4XkUKimhARyQmxxexzqmqpX3C26kFEPCouF5FCoiRERHJGdDG7iAyl4nIRKRTqjiUiIiIiIr5SEiIiIiIiIr5SEiIiIiIiIr5SEiIiIiIiIr5SEiIiIiIiIr7Ky9GxjDEVwF1ANdADnG2tfSG7UYmISD5T2yIi4p98vRLyMcBaa08A7gEuzXI8IiKS/9S2iIj4JC+vhABdwCHe31XAwZEeUF1dQTAYSHh/TU1leiLLMYW6X1C4+6b9yi+Ful9FKu1tS6xc/rzkamyKK3W5GpviSl2uxpaOuEpCoVAaQskcY8z5wCUxiy8GVgH9uAbjbdbaTcNtp7V1X8IdramppLV131hDzTmFul9QuPum/covhbRfNTWVJdmOwU9+tC2xcvnzkquxKa7U5Wpsiit1uRpbKnEN17bk/JUQa+0twC3Ry4wxPwS+ba1dZYw5CvglcFQ24hMRkfyjtkVEJLvytSZkEtDu/b0Ld9lcRERkLNS2iIj4JOevhCSwAviRMeZi3D58PMvxiIhI/lPbIiLik7xMQqy1W4GTsx2HiIgUDrUtIiL+ydfuWCIyCmu3r2Hp6nN4571vZ+nqc1i7fU22QxIpOI2NQRYtqmDGjEksWlRBY2Nenu8TEckofTOKFIm129dwzSNXRW63tLdEbp84+6RshSVSUBobg1x44YTI7aamgHe7k6VLsxeXiEiu0ZUQkSJx18bb4y6/e+MdPkciUrhuuKEs7vKVK+MvFxEpVkpCRIrEto6tKS0XkdQ1N8dvVhMtFxEpVvpWFCkSc6pqU1ouIqmrq+tPabmISLFSEiJSJM5asCTu8voFZ/sciUjhWr68J+7yZcviLxcRKVYqTBcpEuHi87s33sG2jq3MqaqlfsHZKkoXSaPFi3uBTlauLKO5uZS6un6WLevxlouISJiSEJEicuLsk5R0iGTY4sW9SjpEREag7lgiIiIiIuIrJSEiIiIiIuIrJSEiIiIiIuIrJSEiIiIiIuIrJSEiIiIiIuKrklAolO0YRERERESkiOhKiIiIiIiI+EpJiIiIiIiI+EpJiIiIiIiI+EpJiIiIiIiI+EpJiIiIiIiI+EpJiIiIiIiI+EpJiIiIiIiI+CqY7QCyxRhzLPBNa+3bo5Z9BPi0tfYtWQtsjKL3yxhzKPAjoBooAT5mrW3JaoCjFLNfC4CbvbuagQustf3Ziy51xphxwP9n787D46rKB45/M9maNEmbJmmbbrQF+spaWhbZZBPZVEBREBBBBRRFURQUEHABF35uKIKAyiqCICgqIDvIJlC60FLeUkpLt7Rpmj1ptpnfH+dOOp1OtpnbWd/P88yTmXtn7j33zuSee7b3/AmYDhQD1wBvAbcDIWAx8NUsOa73gd8CfUAX7ne4IVVpjFesY1PVh711GX/tMP4TkTHA3UAFUARcrKovR73nPOBLQC/uN/WvJKbvE8CnVfWMGOuuBw4FWr1FJ6lqc5qkLennTERKcN/leNw5OVtV66Pek7RzJiIB4EZgNu66eq6qLo9Y/3HgKtw5+pOq3roj0hFHur4JnAuEz92XVFWTkbaINGx3/+ctT8k5G0a6UnLOBsvzvPUJn6+cbAkRkUtxN7GjIpbNAb6Iu1nPSDGO6zrgz6p6GO6Hsmeq0paIGMf1feDHqnoo7h/joylKWiI+CzSo6oeA44AbgF8C3/OW5QEnpTB98Yp1XNfjbtCPAB4EvpO65CUk1rFlxbXD7DAXA0+p6uHAOcDvIleKyETg68AhwLHAT0SkOBkJ826Yf8LA9wH7Aseq6hHeI5kFkAHTlsJzdgHwpvf/fyfwvRjvSeY5OxkY5VV8fBf4RXiFd/P4K+AY4HDgfBGZsAPTMqx0efbFVUSFz1GyCyDb3f95y1N5zgZMlydV5yxmngf+na+cLIQA7wKfDL8QkSrgx8A3UpYif2xzXLiL9BQReRI4E3g6JalKXPRxbQHGiUgeUA70pCRVibkfuNJ7noerSdgXeM5b9ihwdArSlahYx/UZVV3gLSvAfX+ZaLtjy6Jrh9kxfgXc7D2P9ds/AHhRVbu8G9blwN5JSttLuBvr7Xi12bsCt4jIiyLyhSSlKWzAtJG6c3Yo8Jj3fLvrcwrOWX96VPUVYL+IdbsBy1W1UVW7gReAw3ZweoaTLnD53GUi8oKIXJakNEWKvp8IS+U5GyxdkLpzFis/D/PlfOVkdyxV/ZuITAcQkXzgj7gaq85UpitRkcflmQ40qurRInIVrgb6qlSkLRExjus3wBO4mqhm4NkUJCshqtoGICLlwAO4Y/m5qoa8t7QCY1KUvLjFOi5VXe8tOxi4kORe2H0T49iuJEuuHSZxIvJF4JtRiz+vqq95tfd3s31htQJ3DQvz/f9+kHTdJyJHDPCx0bgulL8E8oFnROR1VV2UBmlL1TnbELHfWPtMyjmLEH0e+kSkQFV7Y6xLZn4yWLoA7sW1CLYAD4nIx5LZBTHG/URYKs/ZYOmCFJ2zAe5Twnw5XzlZCImyL6724iZcM9juIvJrVc2Gms0GINx/75/AtSlMi5/uBg5T1SUi8lVcc+9XU5ymERORqcBDwI2qeo+IXBexuhxoSk3KEhN9XN6y04ArgI9G96POJJHHBrxD9l47zAip6h9xhdJtiMheuJuIb6vqc1GrW3D/62G+/98PlK4hdADXq2oHgIg8jevj7+sNdZxpS8k5E5EHI/Yba59JOWcRos9DIOJGf4efo3jS5fVe+HW4m5qI/BuYAyStEDKIVJ6zAaX6nMXKzz2+nK+cL4So6qvAHgBeKfTeLLqJeAE4AbgLV/u8JLXJ8c1o3D8AwDpct7OM4vWdfBy4UFWf8hbPF5EjVPVZ4HjgmVSlL16xjktEPosbRHqEqm5OZfoSMcB3lq3XDuMDEdkd16XhNFVdGOMtrwLXisgo3Pi23XBBKVJtFnCviMzFdds+FLgjtUnql6pz9iIuP30Vd33+b9T6ZJ+zF4GPA38VkQOBNyPWLQV2FZFxQBsu///5DkzLcNNVAbzp/V+0A0fhBj6ng1Ses8Gk7JwNkOeF+XK+cr4QkuW+BfxBRC7ANZttF2UkQ50LPCAiW4Bu4LwUpycel+Oill0pIuE+lxcBvxGRItw/+AOpSlwCoo8rHxcQYRXwoIgAPKeqV6cuiXGL9Z0dr6rWFcsM5Ce4VrLrvd9+s6qeJCIX4/pTPywiv8Hd0AaAK1Q1ZWOmotJ1J/AybszdHaqa0kqsNDhnNwF3iMgLuHznjBjpSuY5ewj4iIi8hOuv/3lxUfrKVPUWL13/wZ2jP6nq2h2YlpGk67u4CrYuXNCGR5KUrpjS5JwNla5UnbNYed6twGi/zldeKBQa+l3GGGOMMcYY45NcjY5ljDHGGGOMSRErhBhjjDHGGGOSygohxhhjjDHGmKSyQogxxhhjjDEmqawQYowxxhhjjEkqC9Frso6IPAscPsDqr6nqDSKyEviDql4jIgXe8l95n88DzgIeU9WNCaSjFzhXVW+PdxuDbPt2YIqqHu33to0xJt1518CzB3nLKlWdHnmtT0a6hitGvnMOLp0J35d5s80/A0xV1TWDvO8s3BxOewIh3Jwev1PV+xJNw0iJyEG4iQ1f9F6HgLNU9W7L77KXtYSYbHUPUBvjEZ7kZ3/gV97z04BfRnz2YNwkU6VJSakxxpiRuoit1/UDvGUnRSzbP0XpGq7ofOc+YHKydi4idwA34OajOgCX7/0buE1Ebk5WOiI8D+wa8bqWzJwry4yAtYSYbNWpqnUDrVTV+oiXeVGro18bY4xJI6rajJuEF2/2dIDNg13308w2+Yw36WlSJj4Vkc/hJls8VFX/F7FqqYjMAx4XkedU9Z5kpMcTfT4y5Xs0CbBCiMlJ4SZ64AXgLm9ZCPg8cJv3tvdE5Aeq+n0R2RP4BfAhYDOuxug7qtrkfXYcrlbpo0A7cNkg+y4D6oALI7tqicjvgNmqeqiITAf+DzgSGAOsxTWT/1+M7R1BVNN79DIRKQZ+jMt4RgPzvfS/4r1/Am5G4COAYtysv99W1QVDnUtjjElzk0XkYeBoXMHlt6r64/BKETkZ+AEgwEpc3vBLVQ1666cB1wEfBkYBTwEXq+oKb/1KXK39x4FxwLHAEga45nrX5+h8ByK6Y4lIOfBT4FO4VvmXgK+rqopIADeb9dnATkCHl6YvR1WwDeRC4J9RBRAAVPVJEXkC+Bpwj5cXvQd8SFVf8NK2zTIv//s5cDxQDdQDf/aONygi3wcOBF4EvgKMBZ4GzlPVdd75y8e1wpyjqkdEdseKTuMw8uOPAtcAHwCacN/NJaq6ZRjnxiSRdccyue4l3AUZXPPv/bgmfXBN1D8XkcnAc8AiYA4uU9gdeDBiO/cDewHHeZ+/EHdR3Y6qtgF/A04PL/P6B58K3Okt+icuszsS2M1bfp2I7BPncd4JHObtYz9cBvCsiMzy1t8IFAKHAHOBVi+NxhiT6b4IPALsAVwPXCsihwGIyAm4G+brvfWX4rp6Xemtr8DdPIcLF0fgKoaeE5ExEfu4ADgf+BiwgMGvudH5TqwxGH/FFXpO9z7fBvxHRAqBi700fg3Xhel04FDgiqFOhIgUedt7cZC3PQN80NvXcNyJyxM/DszCFQC+BZwY8Z4jgdm4guBHcHnpD711+wN9wDeATw6R/kHzYxGp9p7/HlcIORPX9e3SYR6LSSJrCTHZ6mwR+UzUsntV9dzIBaraLSLN3vM6ABHZ7K2uV9U2EfkusEJVLwl/ztv2Gm8wXRNwFHCYqr7srT8bVxM2kDtwTd7jvcHvxwJlwF9FpAS43UvvWm97P8RlMHvhMrhhE5FdcBnhnqoaTtMPRORQXEbxJWAX3EX9PVXdIiJfAnYXkUC4NtAYYzLU/ar6e+/5T71r+n64cQiXAzeqani84LteK8StIvIj4LNAJfAZVd0MICKfBlZ5637nfe5hVX3OWz/oNVdVvxQj3+lPrLgXxwFHquqz3rLzvbRWAQqcraqPeR9ZJSKP4fKHoVThuj41DfKeBu891cPYHsBjwDMRx3qjiHzHS8/fvWUB4POq2uodz33AMeC6R3vH3xw+x4O4gMHz4y1AEbBGVVfhzs1xuEKcSTNWCDHZ6iHcBTtSa5zbmgPMEZFYF7HdIrY7L7xQVd8SkcH29wyui9WncZnYmbhMLNycfANwmogcgKvp2gd3EY/ZujKM9AP8LzKjw3W7Kvae/whXm3WKiDwHPAr82QogxpgssCzqdRNQ4j2fA+wvIhdErA9466fjIke9HXlzrKqbROQtb13Yiojnw7nmDiZcmHg1Yp8NuEojgH+KyEEici2uC9kHcHnRf4ex7QZcJKxxg7yn0vvbAtQMYzoT5eoAACAASURBVJs3ASeJyLm4lpC9gSlsm1/VhQsgnmZcYWGkhsqPb8O1Iv1LRNYAj+MKQv+KY19mB7NCiMlWLaq63KdtdeMuZF+Psa4e17QM2w9o7x5og6oaEpG7gNO98IMn4Qok4TEj/8X9fz6AK7D8D1fzNlyR/9vhdBzE9gMfu7z0PCAiTwIneMdzJXC5iMxW1Q0j2K8xxqSbvhjLwtfrbtx4jz/HeM8aBh4sng/0RLyOfN+Q19wh9Ay2UkS+B3wXd8P9KG7syUW48SGD8lr/X8N13+ofYygieaoa8l4eBixW1XYRiVUIKYj4XADX1U1w5/AuXOHpqajPxDrueILADJofe8dwmoj8AJefHYurlLyLrWNvTJqwQogxrlZosNdLcC0Vq1S1B/oH5t2AywgWeu87GHgiYn3VEPu9EzeA/Vxca8p/vOXH4lo+qiKa/wVXOxfroh3O8CoilkWGOgw3kU9Q1SfDC72B8EtF5CZcZnSnFw3lHhEZD2zAzbfy1yGOwxhjMtUSYNfISitvoPrpwOeAt4Avici4iOtxNe6m+5ZBtgkDXHNxeUd0PhNpqfc33GUsPDZlOW7MxHeAq1S1P8SviOzKEIWXCL8B7hCRg1X1JW/ZsyKyBDfI+3i2jlkZKn+Zg+tWta+qvhGR1lpGVsgY7HxEGjQ/9rrCfVZVv4n77n4uIpcC38cKIWnHCiHGeN2pRGR/3MU/3GQ8R0QacRe3C3EX7Z/gmtNvwDVZL/Nqlv6B6wd7Lq6Z+TfAoF2ZVHWZiPwP1xXqVlUN19at9v6e6UV02QUXeaSH2E35b+L6u14uIlfjMohwsz2qutzrf3uLiHwV1zXhC8CXgWNUtU9E9gBuFpGvAxtxF/ke4I0hzp0xxmSya4B/i8hiXDCOXXGFi0dUtUtE/owbj3evN5YEXMtJI3BvrA0Odc313had70R+fllEnnIBrsX9Wlze8houjzhWRB7BtchcAOyLi8A1JFX9s4gcDjzq5Rn/9o7pNm9b/wXCc4Wsx0UM+6aIvIvrnnUtWwsN64Fe4FRvPGWttz6P4XU9C2vFjUMMj5McyKD5MW6ulQtEpBP4I1COGzC/XSQwk3oWHcsY193pOVy0kPNxtSd/w2UwP/AGDh4NTMBdyP6DywQ+oqrhWqLPetv4O/AkLrrV+mHs+w7cRTIcFQtVfRW4BFfbpbim9su97W43AZfXz/YsXK3ZW7iII9+Ketu5uCbz24DFuJquT6pquMn8c8C7XrqXAicDJ/nYpc0YY9KON7j7LFwo3cW4AsiduIAdeGFdj8V1J3oeF+WqGReedrDB3UNdc6PznWjn4Lo1/QOX7xQBx6lqF+56PRZX6HgMVyA6F3cTP6xJdlX1fFyh6BRcweYvuDzgJ7hWnntEpNbr3nQWbgzJIlzh5Lt4lWyqug7XwvBpXH51q3fMf2RkE0b+FBe+9z+DvWmo/FhV38N1bz7aS+8zuG51p8feokmlvFBouC1gxhhjjDEmm4mb9+N83Hwq7alOj8leVggxxhhjjDHGJJV1xzLGGGOMMcYklRVCjDHGGGOMMUllhRBjjDHGGGNMUlkhxBhjjDHGGJNUVggxxhhjjDHGJJUVQowxxhhjjDFJZYUQY4wxxhhjTFJZIcQYY4wxxhiTVFYIMcYYY4wxxiSVFUKMMcYYY4wxSWWFEGOMMcYYY0xSWSHEGGOMMcYYk1RWCDHGGGOMMcYklRVCjDHGGGOMMUllhRBjjDHGGGNMUlkhxBhjjDHGGJNUBalOgMkeIlIMfBM4HdgF6APeAe4DrlfVrh2032eB6ao63aftnQPcBnxeVW/3Y5t+EpEAME1VV3qvjwCeIcnpFZFQjMW9wGbgOeBqVV3qRxpFZKaqrog/tcaYTGV5S3JY3mKSzVpCjC9EpAB4DPg+8D/gEuB7wArgp8BTXkZiEiAiFcArwDkRi5cCZwHPpyBJb3v7Dj/OA24CjgZeFpGZie5ARG4G/pjodowxmcfyluSwvMWkgrWEGL+cChwBnKKqD0Ys/42IXAJcB3wBdxEx8RsH7A88El6gqhuAu1OUng2qut2+ReR/uDReCnw5wX0cC6xMcBvGmMxkeUtyWN5iks5aQoxfDvb+Ph5j3Y1AD3BQ8pJjUklVHwVa2Pq7MMaYeFjeYvpZ3pJdrCXE+KXV+/sl4BeRK1S1XUTKVLU7crmIfAD4IXAUUAjMB65U1f9GvOfTwIXAPkAJsBa433vfgP2ARWR34FrgSKDI2/YPVfU/iRxkjP1UAT8CTgKqcbUqtwH/p6p9Ee+rAH4AnOK9711cX+Y/RLxnLnAFcCiuVqoReBK4VFXXRPR9BbhaRK4GZgDTieoTKyL5wMXAud76BuAfuPO2yXtPeHvHACcDnwbKgJeBi1V1YYKnJ8gg15hhpjHcN3gn73la9qU2xuwwlrdY3hLN8pYsYS0hxi93A93Az0VksYj8SESOCPfVjZFJ7Irr33sUcANwOe7i+ISI7O+951zgr0AT8B3g28AqXJ/gHw2UEBHZC3ex2x34Me7iWwg8IiKn+XXAIlIJvAR8EXgAN3ByKfAT4J6I9xXh+tR+DfiX974VwK0i8vWINL+AG3T5E+CrwKPAZ4BwF4Sl3mcBHsL1k60fIHn34ropLPY+8wDugvyiiIyNeu8fgLm4c/oz4EDcuYq7kkJE9gXGAm8M8rbhpPEsYBNb+wenom+yMSZ1LG+xvKWf5S3ZxVpCjC9UdYmIfBL4E7CH9/ge0C4iDwPfV9VlER+5Bnfx3ldVlwOIyL24WpxLcP2Av4W74J+sqiHvPTcC7wHH4fqExvJb3AV0rqq2e5/7LfA0cL2IPBSdccXpO8As4BOq+ndv2Y0i8jvgKyJyh6o+gstIZgNnquo9XnpuwUX5uExEbgC+AoSAI1V1s7etW7xM5jMiMk5VN4jI34FfAYvC/WVFZJtEichxwKdwtWHfiFj+X1zGeznbnrsNwKHh2jUR2YIb8Hkk8MQQ56BQRKojXlcAc3AZQK+X1u0MN42qereIXMMA/YONMdnN8hbLWzyWt2QhawkxvlHVfwM7AacBdwHrgdG4sIoLReRw6A8DeALwSDiT8D7fgGsu/rq3aG/ghHAm4RmPa0oui5UGrwn7cNzAtRIRqfYuZGNxNTwTcIPv/HAisDQikwgL16Sd5P39GC7j+kv4Dd4xnQV8CJdBfAUXCjKcSYSb2bd4L2Me7yDpAlfr1U9V7wc0Il1hf4ts3gcWeH8nDmNfB+OOLfx4F1frlA98WlXn+ZRGY0yOsryln+UtlrdkFWsJMb5S1S242oa/Qn9f1G/jMovfA7sBVbgL3zsxPr844nmPiOwnIqcDH8A1J4/3Vq8aIAk7e3+/5j1imSYir+Ga6CN1qmrzoAe4rRm40JHbUNU6EWnCZZrg+qS+G5XhoarbHIOIVInIZbgMcmfv83ne6pFUGMwAmrzIJtGWAsdHLYtudg/3h84fxr4W4WoVIz+7PvIGwKc0GmNymOUtlrdgeUvWsUKISZiIjMY1cc6LCqGIqr4BnOH1wzzeq00KX4BiTUgUud3f4gYOzsc1nd+F6yd7AzBtgI+Ft/07ILoWKWwJrpblmajld7BtjPSh5A2yLoDrxxxO01DHeiqur+86XNP+o8DruBCCl40gTSNJV1hwhNuP1KiqT8bxuZGm0RiTYyxvicnylsFZ3pJBrBBi/LAFVyP1ElsHukVbgutr2wk0e393jn6TiHwbqAV+g8sk7lLVz0W9Z7Cm3JXe397oC5gXMWUG0AEsBD4S9dl1g2x3oH1J9EIvfRXAam/R+7gaqOj3HY8bHHgprp/sO8B+4b7G3nvOHGGawuk6VkQmxKgNkoh0pdJK0j+NxpjUsrxl+/RZ3jK4laR/Go3HxoSYhHl9Pu8DjhCRz0avF5FxuIFiT6pqh6r24mK+nyAiUyPeV4kbODiTrc3Zb0Vt6wRgVwYoQKvqelwtzzkiMinicwW4mVEfBApUtVFVn4x6vBVrm4P4J7CbiJwctfy73t9/eX8fASaIyCei3vdN4KO4CB1VwKqoTGIq8EnvZfh4w/1rB/vf/af3d5taLi+dEpGuVBpJGvuwa5UxOcfyFstb4mB5SwaxlhDjl4uBA4C7vBqWx3G1UrvgmqGLcKEBwy7DhVF81Yvg0QKch+vP+z1gOa6W53IRGQWs8bb/WdzgstpB0vJ1XLPzPBG5Cdcv9TO4ZvLLvEGKw3G2iBwYY/kCVf09buDbKcB93n6WAR/GXdwfVDepEsDNuBl97/Wimygug/gI8AVV7RORR4HTROT3wGu4zPI83ADMKqDc21YDron7JBF5H/hbjPQ9gouJfpGITPHOxSzgAlz4xp/E+EyyjSSN9cBsEbkAeC6ODN0Yk7ksb7G8ZSQsb8kgVgI0vlA3AdC+wJW4CZOuAm7CDRp8ENhLVd+JeP9S3Cy3r+KajH+IuygeqqpL1E0WdQKuv+43gF8CU4EjcKH5KsTFC4+VlpeBQ3C1VhcDP8ddaM9R1Z+O4LCOwE2QFf04ztvPZu8Y7sRlRL/EDY4Mh4EMp6fT29YfvfPxK2AycKqq3ua97QJcCMqTcX2Oj/WO+1Pe+qO8bXXgYtNPwXUrmB3j+EO4yaGu9Nb/Cpeh3QLsr6pNIzgHO8QI03g1LmrNr4HoGj9jTBazvMXylpGwvCWz5IVCg45pMsYYY4wxxhhfWUuIMcYYY4wxJqmsEGKMMcYYY4xJKiuEGGOMMcYYY5LKCiHGGGOMMcaYpMqZEL319a0DjsCvrCylsbEjmclJimw9LsjeY7PjyizZdFw1NeWDzTRsBmB5S3bJ1mOz48os2XRcg+Ut1hICFBTkpzoJO0S2Hhdk77HZcWWWbD0u449s/X1k63FB9h6bHVdmydbjimaFEGOMMcYYY0xSWSHEGGOMMcYYk1RWCDHGGGOMMcYk1ZAD00WkT1Vzo3OaMcaYnCYihcCfgOlAMXCNqj6c0kQZY0wWGk5LiEVMMSaLdPX0sbGxg66evlQnxZh09FmgQVU/BBwH3JDi9BhjTFYaTojeAcMPGmMyR18wyH1PL2f+sno2t3QxrqKYObNqOO2oXcgPWM9MYzz3Aw94z/OA3sHeXFlZOmgkm5qacv9Slkay9bgge48t0eNaWPcWz6x4iQ3tm5gwupojZx7M7Im7+5S6+Nn3lblyZp4QY3LdfU8v58nX1/S/bmjp6n99xtGzUpUsY9KKqrYBiEg5rjDyvcHeP1gs/5qacurrW31NXzpI9LiWNizj5fWvsalzM9Ul4ziodn92q0qPa5B9Z7EtbVjGwyse7X+9pqmOu954kOaZnSn97uz7Sn+DFaas+tOYHNDV08f8ZfUx181ftsm6ZhkTQUSmAs8Ad6nqPalOTzYJ38zWd24iRJD6zk08vOJRljYsS3XSzCBeXv/aiJYbMxxxtYSIyLREdqqq7yfyeWPMyDS3dbG5pSvmusbWLTS3dTG+sjTJqTIm/YjIBOBx4EJVfSrV6ck2g93MpktriNneps7NsZdvib3cmOGItzvWSuIbK5Lnfc6ibRmTRGPKihlXUUxDjIJIZfkoxpQVpyBVxqSly4FK4EoRudJbdryqdqYwTVnDbmYzU3XJOOo7N22/fNS4FKTGZIt4CyEzfE2FMWaHKi7MZ86smm3GhITNmVVNcaHVCxgDoKoXARelOh3Zym5mM9NBtftvMyYkcrkx8YqrEKKqq/xOiDFmxzrtqF0ANwaksXULleWjmDOrun+5McbsaHYzm5nCXeVeXv8am7ZspnpUegUUMJkp4ehYIvJhoFdVn/MhPcaYHSQ/EOCMo2dxyuE709zWxZiyYmsBMcYkld3MZq7dqmbZ92R85UeI3p8CTwDPAYjI7sAfcOM+blDVu3zYhzHGJ8WF+TYI3RiTMnYza4wBf0L0zgJeiHj9S2ACMA+4VUQ+5sM+jDHGGGOMMVnCj5aQINAB/aENjwaOU9UnRaQOuAz4lw/7McYYY4wxpPekj8YMhx8tIYuBQ73nnwGagHBs9eeBPXzYhzHGGGOMwSZ9NNnBj5aQa4GHRGQ2cCxwu6qG5xCpwrWUGGOMMcYYH9ikjyYbJNwSoqqPAccDjcBtwBURq48ArFhujDHGGOMTm/TRZIO4WkJEpEBVe8OvVfVZ4NkYby0E7osrZSYtdPX0WTjXDGTfmzHGZC+b9NFkg3i7Y7WLyBJgofdYACxU1cbIN6nqlxNJnIh8EPiZqh4xwPpbgM2q+t1E9mO21xcMct/Ty5m/rJ7NLV2MqyhmzqwaTjtqF/IDfgwlMjuCfW/GGJP9bNJHkw3iLYScDewNzAYuAWqBkIisxSuQeI8Fqro8nh2IyKXAWUD7AOu/BOyFNz+J8dd9Ty/nydfX9L9uaOnqf33G0dbfNF3Z92aMMdnPJn002SCuQoiq3gvcG34tItXAPrhCyWzgROBSoFBE2lW1PI7dvAt8EthuskMRORj4IHAz8IE4tm0G0dXTx/xl9THXzV+2iVMO39m6+KQh+96MMSZ32KSPQ7MwxunNj+hYqOom4EnvAYCIFOHC8+4d5zb/JiLTo5eLSC1wNfAJ4NThbq+yspSCgoFvwGpq4iknpb94jmv9pnY2t3bFXNfYuoX8okJqqkcnmrSE2Xe2rXT/3uz7MsYYkyzhMMZh4TDGgBVE0oQvhRARKQB2BjpUdTWAqnYD872Hnz4NVAOPABOBUhF5W1VvH+xDjY0dA66rqSmnvr7VzzSmhXiPq6+nj3HlxTS0bH9DW1k+ir7unpSfL/vOtpfO35t9X+kv0wpTIpIHnAk8q6prRORK4DTgFeAiVY3ZldcYkxssjHH6S7gQIiIHAg8B473XHcCbbB0XslBVX050P2Gq+hvgN96+zgE+MFQBxIxMcWE+c2bVbDO2IGzOrGrr0pOmsuV7s8heZpiuBr4NHC0iM4EfADcBRwLXAV9NYdpMClkXHAMWxjgT+NES8kvgRdz8IEuBO4HdgC/hJirMAxK+kxCRM4AyVb0l0W2ZoZ121C6AG0vQ2LqFyvJRzJlV3b/cpKdM/t4sspcZoXOAM1X1FRH5LfCiqn5VRA7CVYxZISQHWRccE2ZhjNOfH4WQvXA1UOEoWH9U1TdE5DhcAeXceDesqiuBA73n98RYf3u82zaDyw8EOOPoWZxy+M5WK51BMvl7s8heZoQmAvO858cCd3jP1wOZ1bfM+Ma64JgwC2Oc/vyoXuwCulW1D+gAKqF/JvU7gK/5sA+TIsWF+YyvLM2YG1njZNr3NlRkr66eviSnyGSAFcC+IjIH2AUI3218HBdd0eQg64JjwnarmsWJM4+npqSavLwANSXVnDjzeCuMphE/WkKW4AalP4PLFPYCnvLWvQbYRILGmEE1t3WxOcaAenCRvZrbuhhfWZrkVJk0dx1wH67b73NeC/yVwFXA51KaMpMy1gXHRLIwxunNj0LIzbhQvAB3AxeLyAvAO7hJDQcOS2VMjrDB1oMbU1bMuIqBI3uNKStOQapMOlPV20XkDWAm8Ji3+GXgcFV9KXUpM6lkXXBMtsnmQAsJF0Kixmr8BjgeeBUIeY+vJLoPYzKVDbYenmyJ7GWSS1UXAYsiXj85yNtNDrCZxE02yfZAC77MExKmqluAI0XkcGAy8Iaqvu3nPozJJLk+2DrcAlQ+pmTI92ZyZC+THCLSg6vcGpKqFu3g5Jg0ZV1wTLbI9kALvhZCwlT1uR2xXWMyyVCDrU85fOesreGPbgGqqSxh752rBm0ByuTIXiZpzmOYhRBjjMl02R5owY/JCp/ATU4YfixR1c5Et2tMpsvlwdbRLUAbGzuH3QIUjuxlTDQLy26MySXZHmjBj5aQlcAhwPlAKRAUkRVsLZQsVtUHfNiPMRklVwdb53ILkEkeERmFy3f2YuuEuHlAMbCfqmZ+XwVjTE7L9kALfgxMPw9ARPKAXYG9gcOBU4HjcJmDFUJMzsnVwda53AJkkup3wOm4QCiHAs/jwsWPB65OYbqMMcYX2R5owbcxIaoaApZ5jwdE5AfAg8Dlfu3DmEyTi4Otc7UFyCTdx4GzVfV+EVkGfBUXGv7PuEl0jTEm42VzoIUdMjAdQFU3icglwI+AY3bUfoxJZ7k42DreFiCbS8WM0Bjgf97zJcC+qrpURH6Km8Tw+pSlzBhjPNk8z0ei/BiY/kHgTVWNNSnhO8BBie7DmEyXa4Oto1uAqsdujY4VzeZSMXFajwsF/z6uBX5vb3kzMCVViTLGmLBsn+cjUX60hLyMG4y+EjcQfRGwGJdBnAFkRxwxY8ywRbcA7Ty9itbm2EHzcn0uFRO3B4HbReQc4EngbhF5ETgZWJ7KhBljDGT/PB+J8qMQMgOYjauFmo0bKLgzLkpJG/BFH/ZhImRTt5VsOhazvXAL0KiiAlpjrLdIWiYBlwGFwAxVvUdE/gk8BLQAn05pysyIWHcVk62yfZ6PRMVVCBGRq4D5wCJVXQWsAh6OWF8CVAPrVbXXj4Sa7Oq2kk3HYuJnkbRMvFS1C/haxOtzReRSoMXyncxh3VVMNsv2eT4SFW9LyFl4IRBFpAVY6D0WeI8lqrralxSaftnUbSWbjsXEzyJpmXiJyBmDrENV70lmekx8rLuKyWbZPs9HouIqhKjqriJSDuwDzMHVRh0W8ZZeL2TiAmCBqv484ZTmuGzqtpJNx2ISk6tzqRhf3D3A8i3AGsAKIRnAuquYbJbt83wkKu4xIaraCvxXRA4EOoEP4SKU1AKfxMVsPwY4ErBCSIKyqdtKNh2LSVwuzqViEqeq2/TbFJF8YBZwE3BzShJlRsy6q5hsl83zfCTKj4HplwDnqOqL3ut6YJGI/BZ4xFsfFy/8789U9Yio5acD3wB6cRG5vqKqwXj3kwmyqdtKNh2LSVwuzqVi/KeqfcBSEbkY+CvwlxQnaUA2EHsr666S3ey3bgbjxwjgfGC7amtVbQB+5j1GzBtg+AdgVNTyEuAa4EhVPQQ3YdXH4tlHJgl3W4kl07qtZNOxGP+EI2ll8vff1dPHxsYOunr6Up2UXNYLTEp0IyLyQRF5NvHkbCs8ELu+cxMhgv0DsZc2LPN7Vxlht6pZnDjzeGpKqsnLC1BTUs2JM4+3G9UsYL91MxQ/WkLuB64SkSdVtSlqXQ+wV5zbfRfXreuuqOVdwMERkyMW4PoAZ71s6raSTcdijEV7S74BBqZXAOezdSb1eLd9KS4AS3si24nFBmJvz7qrZCf7rZuh+NUd63HgHRG5EfgHsBEQ4Ke4cSIjpqp/E5HpMZYHgQ0AIvI1oAx4YqjtVVaWUlAwcA1rTU15PMlMuotO35ct3b00tnRRWVHMqKLBv8J0Pq6RHku0dD62RNhxZZaamnJu/fubMaO9lZYUcd7J8dbDmCHEGpjeg5tA9ysJbnugSrCE2UBskyvst26GknAhRFVbReQw3MRRXwO+563Kw0UoOSfRfUQTkQBwHW4Q4imqGhrqM42NHQOuq6kpp74+1lRq6asAaG3ujDkBXFimHNdwjiVaphzbSNlxZZaamnLWrGvixYVrY65/ceE6jj9gakZ0Mcu0QmL0wHSftx2zEiyWkVZwTR47nrq27aMDTiwfn1HfQSaldaSy9diSfVzJ+q3Hu62FdW/xzIqX2NC+iQmjqzly5sHMnri7b+lKVLb+DiP50RKCqvYAPxSRa3Ddr2qBBmChqnb7sY8oN+O6ZZ2c7QPSjTHpzaK95baRVnDNHTeHh5u2H4g9t3KfjCmoZ2ulAmTvsaXiuJLxW4/3uKInyVzTVMddbzxI88zOtOgqlk2/w8EKU/HOmB6IdfPvLQtPXOgrr/9vGfA68EXgv8DTIgJwvao+5Pc+jTFmKBbtLXlE5D1gyJZvAFWduYOTExebN8DkinT+refaeJV0jVIWb0tIg4gcoqpvicgXgUXAYlXt9DFtqOpK4EDveeTEUzbS0xiTFmzCxaT6Q8TzauBC4EHgFaAb2B84jTSfm8oGYptcka6/9VwarxLd6hOOUgak/LuJtxByMdDiPf81LkRvUERW4Aokb3p/F6nqioRTaYwxacyivSWHql4bfi4i/wYuUdVfR75HRF4GzvRhXyvxKsGMMdkllybJTOdWn7gKIap6W8TLCmAmbizI3t7fM4CrgICItKlqRaIJNcaYdGUTLqbEEcBFMZY/DfwquUkxxmSSXJokM51bffwYmH4U0Kuqfwf+Hl4oIqOAPYh/npCM0dXTZzcexpj+CRdNUqwCPgH8X9Tys4kzNLwxJjek83gVv6Vzq48fhZCf4ubpeA5ARHYD/oibSf0GVb3dh32kJZugzBhjUub7wF9E5BhgHi4s/MHAB4ETU5guY0wGSNfxKn5L51YfPwohs4CrI17/CpgA/Ae4VUQaVfVfPuwn7dz39PKYE5QBnHF09v+wdxRrWTKpYr+9zKGqfxWROtzEhB/DRc1aAHxDVeelNHHGmJRI1yhQqZTOrT5+FEKCQAeAiEwAjgaOU9UnvQziMiDrCiFdPX3MX7b9JDzgBqeecvjOdhMzQtayZFLFfnuZSVWfB55PdTqMMamXzlGgUi1dW338KIQsBg4FngU+AzQBT3nrnsdF0so6NkGZ/6xlyaSK/fYyg4jcAlysqm3e8wGp6vlJSpYxJg2kcxQoE5sfVXzXAleIyP3Aj4B7VDU8mVQVrqUk64QnKIslmyco6+rpY2NjB109fb5vd7CWJb/3Z0yY/fYyyq5srTzbdZCHxUY2JsekcxQoE1vCLSGq+piIHI8Ly3sb8L2I1UeQpVFKcm2Csh3dXcValkyqZOpvLxfHr6jqkbGeG2NMOkeBMrH50R0LVX0W1x0rWiFwnx/7SEe5NEHZju6uEm5ZaohxM5jNLUsm9TLtt2fjV7YSkZ2AzaraKiJHAqcAr6jq3SlOmjEmydI5CpSJzZdCyEBU9cs7cvuplisTlCVjEH6utSyZ9JFpvz0bv+KIyKeAe4CPishKX8vPowAAIABJREFUXERGBc4WkRpVtQkLjckh6RwFysTmSyFERGqATwHTgBbgFlVt8GPbmSDbJyhLVneVXGpZMuklU357FpVvG1cCP1TVJ0Tk+8AKYG/gZOA6bNZ0Y3JOukaBMrElXAgRkUOAR4B2YDlwCK5GqkFEzgJeVtXlie7HpE6yuqvkSsuSST+Z8tvL1PErO4gAd3rPjwP+paohEZkHTEldsowxxgyHHx2Ifw08imsFOQo3a23YHsBVPuzDpFC4u0osO6K7SrhlKR1vAk12S/ffXq5G5RvAJmCCNz/VfsDj3vK9gLqUpcoYY8yw+FEI2QO4VVV7cTPWRnoVONiHfaTMSELS7qjwtengtKN24ej9plBVMYpAHlRVjOLo/aakXXcVYzLdYNeRZFcIpLl7cWNCHgfWAk+JyGnAnwAbmG6MMWnOjzEha4EZA6yrB2p92EfSjSQCTS5Eq8mU7irGZKrhXkcyZfxKElwKrAJ2Bm5U1T4RGYcbC/KzlKbMGJPVljYscwPgOzdTXWID4OPlRyHkHuD7IvIMsDJq3XSg0Yd9JN1IItDkUrSabB+En8tycd6JdDLc64hVCDiqGgR+CyAiBd6ym1KaKGNM1lvasGybUMD1nZv6X1tBZGT8KIT8GDgUeAM3SDAEVIjIHOAK4Bkf9pFUI4lAY9FqTKbLhZa8dBfPdcQqBMALfnIFMENEdgMuAdap6o9Sm7KRsVpVYzLHy+tfG3C5/d+OTMJ3GKraBRyDK4ycihuY/hTwOtABfCfebYvIB0Xk2RjLPy4ir4nIyyJyXrzbH8hwItDE815j0lG4Br6hpYsQW2vg73vagtoli11HRk5EPgdcj6v8Cg+gWQh8R0QuTVnCRihcq1rfuYkQwf5a1aUNy1KdNJPDljYs40+L/8x1r/2WPy3+s/0eI2zq3Bx7+ZbYy83AfKnmVNU+Vf0ZMBHYBzgBmAPsr6rr4tmml4n8ARgVtbwQ1+f3GOBw4HwvOopvRhKBxqLVmEw2VA18NgZZSEd2HYnLt4ALVfXHeIUQVf09cL73yAiD1aoakwpWMB5cdcm42MtHxV5uBuZrXwtVDanqIlX9j/c3kTuYd4FPxli+G7BcVRtVtRt4ATgsgf1sZyQRaCxajclkVgOfHuw6EpddgZdjLH8FmJzktMTNalVNurGC8eAOqt1/RMvNwOIaEyIiFcAvgI/iWipeAq5Q1YUR79kD+BjwMVX90Ej3oap/E5HpMVZVAM0Rr1uBMUNtr7KylIKCgTPymprybV5feOocSkuKeGXxejY1dVI9toQD96zlCx/fg/z8QNzvTbbo48om2XpsyTyu8jEl1FSWsLGxc7t11WNL2Hl6FaOK/Bg6lthxbenupbGli8qKYt/S4xe/vq90vo6kqfdxLe/vRS3/sLcuI1SXjKO+c9P2y61W1aSIFYwHFx738fL619i0ZTPVo2wcV7zizc1/AXwe+DewETgIeE5EDsB1xfoyrpYqhKuV8lMLEJnrlwNNQ32osbFjwHU1NeXU17dut/zkQ6Zz/AFTt4lAs3lze8xtjOS9yTLQcWWDbD22VBzX3jtXbROVKXJ5a3MnfqQm3uNK90Hzfn9fqbyOZGCh/hfATSIyEdeqf7iInANcDFyWyoSNxEG1+28TaSdyuUmOyMAAk8eOZ+64OTl9Q2kF46HtVjUrp38jfom3EPIx4Luq+nMAEckDbgGeAKYA/wGuAR5V1QY/EhphKbCrFw++DdcV6+c+76PfSCLQWLQak4nSed6JXAp/HWbXkeFR1Vu90LyXAyXAH3HzVn1LVW9OaeJGwGpVUys63GpdWz0PN+V2uNWRFowtupuJV7yFkAm4sRiAGwsiIj8CvghcparX+JG4SCJyBlCmqreIyMW4gk4A+JOqrvV7f8bkinSddyJXw1/bfC3D580LcpOIVAPdqtoCrmJMVUOpTd3wWa1q6li41e2NpGBsc2aYRCTSuTp60Hm4IPBEAtvchqquBA70nt8TsfyfwD/92o8xJv1q4IczaD6d0puohLqetbdTuGgBvbM+QKiqKjkJTiER2RPoVdW3AVR1U9S6P+DlHcYMxsY/xDbcgrEV4kwiEimE/FpE5uG6Ry3FRbMC6E44VcaYnBcOW9sQoyCSjWFrR9T1LBgk/93lFLz+KoWvv0r+O8vo230P+r58YVYXQkRkJvAPYHfv9evAR1V1kxe+/fvAt4HGlCXSZBQb/5CYXCrEWbcz/8VbCLke2BM3OeF43AD0sBtE5CVgPrAAeFtVgwml0hiTc8Jha2MNms+2sLXD6Xo2qrWJwnmvuYLHvHmEysro2e8Atpx2Jr17z4ZRo2J+Psv8EheM5Gxchdf3gOtE5ArgEWA2bvLCi1OWQp/YDU9yWGCAxORKIc66ne0YcRVCVPWb4eciMh7Yy3vs7f39Cm6gILhZ08sSS6YxJhel86B5P8XqelbQ18OMje+x2/xllL/2e0qaGujdZy49++7Pls+fR3BibYpSm1KHAGer6iMAIrIEeB43f9Q44FhV9a1LcKrYDU/yRI9/mFg+nrmV+9h5HqZcKcRZt7MdI+GA+6q6EXjKewD90bJ2xRVK9kx0H8aY3JSug+b9NqasmKqyQgpXr2JW3TvI+mXMqH+P9WNrWTNjD7Zc9C2699wT8rPv2EeoEuifj0pVl4hIuJJrH1XNim5YdsOTXJHjH7I1/PtwjbQFLleiu+VSt7NkineywqtwXa0Wquqq6PVeVJJl3uOBhFJojMl56TZo3i+BuvUUvDGP0fPn8YOn/svazjyW1e7KK7scwF2HnElncSlH7zeFwOyhM/QciaoVAHqilnUDl2RLAQTshsekRrwtcLkQ3S1Xup0lW7wtIWcBVwOISAuuZir8WAAsVlUboG6MMRHympsoWDCfwvnzKHjjdfI6O+mZsy89++7PqC+cx6tL2rbpenbIMLqepfuEjkmyLtUJ8JPd8JhUsBa4geVKt7Nki3dMyK4iUg7sA8wBvoabNDCsV0SW4QokC8KTGmakUIji++8lVDqa4IQJBMe7ByUlQ3/WGJPbOjspWLzIK3TMI7B+Hb177U3vnH3ZcuInCM6YCXl5AOQBZ9Qy4q5nOTahY4htA6EMtCyj2Q2PSYXIFrhQKMTGjvVs6FhHWWEF+0/Yk4mjJ1FVUkUgL2cqN/qNtNuZBZYYnrjHhKhqK/BfETkQ6AQ+hOt+VQt8EvgqcAxwJDtwRvMdLhSCUIiCt98i8PwzBDZuJLBxA6FRo/oLJMEJEwmOH+/+TphIcOJEQhVj+m8ujDE5oq+P/LeXukLH/HkULFN6d51F7z5z6bjwG/R9YDcoGPyyO5KuZzk4oWMesFZEIpcVABq1DFUtSmK6fJUr/exN+giFQpQUFPFu0zts3rKJ95rfIRjqY0r5dJq7GvjDmzezrm0t7T3tjCmuJJBXRCCvgPGl49l/4n7MGT+bqpJqqkZVkZel9z7D7XZmgSWGL+GB6cAlwDmq+qL3uh5YJCK/xYVMvMSHfaROIEDXaWdsuywUIq+psb9AEthQR2DDBgoWv+meb9xAXk8PfV6BJDih1rWi1E7aWkgpr7BCislpWTGGIRgkf5lSsOANChbOp2DxmwQnTnQtHaedSe+ee0HpjhvLkmsTOgKfT3UCkiUX+tmb1Ojq62Jl83u817zCe7zLiuYVtHa30heCscVVzJ1wELWjJ5OXF+DEmcf3/xbnb1jEPW/fS8OWejp62nm36R0Wb1rIw6PG0hXcQigUZGr5NKZV7MTU8mlMLZ/GhNIJ1JSOZ3RhWU60oli3tuHzoxCSD2yXy6lqg4j8DPgZcJAP+0kfeXmEKsfRVzmOPvlA7Pe0tZG/0RVOAnXrCdTVUbBkMYEN6wls2AB9ff0FkuB47+/EWiukmKyX0WMYgkHy33uXggXzKVgwH3QJo8vH0jN7Dt3HnkDHJZcRGluZtOTk2oSOqnpHqtNgTKYIhoJsaK9jRfO7bFq9joVrlvBe8wo2tNcxrWIa08fMZEbFTPabuD8zxuxM1agq3t78zqAtcPPr36S6dALVpRO22VdNSTVf2PNMGrdsZnXr+7zf8j7vt65iwcY32NixkfrOjWzp7WRUQQmlBaWMLixjdOFoSgtLGV1QRmlhqXteWLbN+uL8UYQIEQoFCYaCBAkSCoUIhoKECDF5Sw1dbTC6cHT/Z0oKSlJa2LHAEsPnRyHkfuAqEXlSVZui1vXg5g3JPWVl9JXtQt/M2INK89pa+1tQAnXrI1pS0reQkhU11zkinb+rjBrDEAoRWPkehQtdoaNg0QJCFWPo3WcO3UcdTem1P6AlmLpeP7k0oaNJT9b3PT20drdEtGysYEXzu6xsfo+ywjJmjt2ZvSbvzqGTD+Os3c9havk0CgKxb/+GaoEb6ga7ctQ4KkeNY++afbZ7TzAUpKO3g/aedjp62unocc/be9rcsl63rK69rv/5lr5O8sgjkBcgLy9AgID3PI9QKEReXR+bWhu32U53XxflRWOoLqmipmQ8NaUTmFA6gdqySdSOnsTksimUFu64FmILLDF8fnXHehx4R0RuBP4BbAQE+ClunIiJEiorp6+snL6dd425fliFlIkTCU6c5Lp5eYWUPq/Ll58D5zO65jrHpPt3lfZjGEIhAqvfp2DhfAoXzKdg4QJCpSX0zp5Dz4cOo+OrFxGqqdn6/qpySPGcArkyoWOyiEgAuBE3+3oXcK6qLk9tqtJTNvd9T7RwFQqF6An20B3spqevm55gL919XW5ZXzc9wR56+rrpDvbQE+ympy/8Xvc6/J7w57v7399Nb18vXcEuevq66eztZGPHBtp72pkxZmb/48PTPsL0MTMoL6oA/Jv/JJEb7EBegLLCMsoK/Zu/OtZx9QX7aOpqoqFzE5s669nQUUddex1vNSxhffta1rWto6SghCnlU5lcNoUp5VOZUj6VqeXTmDR6MoX5hQmlyQJLDJ8fkxW2ishhwGW4KFlX4iKV5AFrgHMS3UcuGlYhpa6OwPp17rF6NQWv/Y/89esJbKgjNHo0zNiJ0rHVrgVlYi3B2lpXYKkZP6JJz9Kh5jqda/bTSTp8V4NJuzEMoRCBtWv6WzkKF84nVFDgCh0fPJCO879CaMKEobeTQrkyoWMSnQyMUtWDvMArvwBOSnGa0lI29n0PhUK8uPZl7tP7aeraTFt3C32hPh585y/MqJhGedFour2CwkAFiu6+bnqDvRQE8ikMFFGYX0RRoND7W0RBoIDi/GIKAoUU5xdRECikKFBEYb77W5BfSHH/32JGF4ymKL+IwkARRfmF3l/3urSwlOqSasaXTkhKF6RMuMHOD+RTVVJFVUkVs5Dt1gdDQRo6G1jXtoY1bWtY0/o+SxoWs7rlfTZ2bGB86QSmVkxjWvk0ppa7sS07VexEWVH5sPZvgSWGz4+WEFS1B/ihiFyD635VCzTgJjO0+UJ2gFBZOX27lNO3S4xCSjBI3ubNVHc107t0OYH16ylY8iaBpx53BZbGRoI14/sLJX21XmtK7SSCtbWEyrb+o6W65nqgmv0LT52zw/aZqVL9XQ1HOoxhCNSt98Z0zKNwwXxCeXn0zp5D79z92PL5cwlOrM3I8VjZOqFjChwKPAagqq+IyH4pTk/ayuS+723drdS117G+fR3r2taypm01q1veZ23n+6xr3khpYTljR41j7Kgq8vPyyQ8UUF5UyYm7nLBNgSJccCgMFHoFA7euMFCYlYOws+EGO5AXoKa0hprSGmaP3/Zeoruvm3Vta1nd+j6rW99nQf0b/PPdv7O69X1GFYxiavlO7BQx6H5q+TRqSsdv911bYInh8aUQIiI1wKeAaUALcIuqNvixbROHQIBQdTXUzKB78s7br+/udlG91q0jULeO/PXrKFj6FoG6dQTWrYOCAq/lZBK9FVXIolYaRo+joXwcjaWV9OW7n00yaq4HqtkvLSni5EOm77D9ZqK0a2WIIRVjGPLq6ylcMM8VPBbOJ6+ri9595tIzew5bPnsOwclTMrLQkYu8VvdhUdXn49xNBdAc8bpPRApUtTfWmysrSykoGPh3W1MzvNrTTFNTU87kseOpa9u+4mNi+fiUHXcoFKK1u5WGjgY2dWyivqOeDW0b2Ni+kY3tG6lrr2Nd6zr6gn1MKp/EpPJJTKmYwgHT5/KpMSezc+XOXPfCzYRC2089E8gL8PG9j0nBUfnDr++kpmZfDvvAvr5syw9+/9YmU8X+7L3NslAoRH1HPSubVvJe43usbFrJG6v+x6rmVbR2tTJ1zFR2GrOTe4zdieljp7PTmJ0YXTQ67nRk67UjUsKFEBE5BBeKtx1YDhwC/AdoEJGzgJetP22aKSoiOGUqwSlTt18XCpHX2kJg/XoC69ZSvGYNs9qWUbJqIVVtDYzpbKF1VDkNZZVsGTeeSePfIzBp65iUYHXNiLp6DWawmv1XFq/n+AOmprxmP52kQyvDcOzoMQx5TY1uVvIFb1CwYD55rS2ue9U+c9hy6ukEp+1khY7M9Sxbu/tG3iWGv9DIZfFeHFqAyNw/MFABBKCxsWPADfnVDz/dhI9r7rg5PNy0fdecuZX7+HrcPX09NHc309zVSHNXs/dooqmricYtm9nctZnGLeFHI8X5xd4A6UpqSmqoLqmhumQCsybsSU3JeCaOnkhF0ZiY81lUlpQztmBszHEPNSWVGft9pvK3uCODFyTzuPIoYUbRbsyYsBtE9NLt6OlgTetq1rS9z+rW1Txe9zSrW1expnUNpYWlbqxJ2WQml03x/k6mdvTkQQfHZ9O1Y7DClB8tIb8GHgU+672O7H61B/AR4HM+7MckQ14eoYox9FWM6Q8/vKb2oP6a60Cwj7HtTVS1b+aI2gAFeRCYP88Noq9bT6CpiWB1tYvoVVsbEeHLm9ixugYKhzfoa7Ca/U1NnWlRs59OMiVSku9jGNrbKXxzIQXz36BgwTwCdXX07j2b3n3m0nXiyfRNnwlpMCjf+CKy5uQ44LvA14FXcHnP/sD1wC8T2MeLwMeBv3pjQt5MYFtZLZ6uOT19PbT1tNLS3UJLdwtt3a00dzXT0t1MS1czTV1NNEc+72piS28n5UUVjC2uZEzxWMYWj6WieAxji8eya6UwzovIFP5blJ9YxLpMGPeQKZIdvCAV0dpKC0uZNU6YNW7b8SfhsSdr21azunU169vWsrThrW0Gx08qm0xtmYvYNWn0JCaVTWFS2SSqQ/4N3k9nfhRC9gC+q6q9IhJ9J/EqcJ0P+zApFF1znTd5MjvNms0BR+3Cluibu54eAvUb++dGCdStp+D1VwnU17suYA2bCFWM2VooGT++v3ASrBlPsLqG0LhxEAgMWrNfPbYkbWr200kmRUqKewxDdzcFb79FwRverOQr3qVXdqN37r50XPRtV3j2qTXOpBdVXRt+LiKXAV9U1eci3vKsiFwA3AfEO6fIQ8BHROQlXAtLzkyQOFyhUIiOng7aetooys9j3/G709LdQmt3K4vqX+fFtU/T2u0KGm09bbR2N9Pa3UprdyvdfV2UFVVQXlRORVEFFUUVlBdVUFFcQUXRGGrLJjO2eGx/YWNM8ZikT3KXDeMe0kUygxekW7S2yLEn+4yfu826UChEw5YG1retZW3bWta1r+WV9S+ztm0N69rWUliYT3XRBCaXTdlaSCmbxMTRk6guqc6a8UZ+FELWAjMGWFePG6Q+YkOFSRSRTwBX4Jrf/6SqN8WzHzO0EdVcFxYSnDSZ4KTJsdcHg+Q1NLgCSfixZg0F898gsKmeQP1G8tpaCY6tJFRdw4Xt+SxqDtA0eiwtJRU0lY6huXQMBx84N21q9tNJVkZKCgbJX/EuBW+8TuH8eeQvWUxw6jR65sxly9lfoHePvaDYCqQ5aAIuAEq0Lty4jrioahD4cryfzyR9wT5au1to7WmlpWv7AkNrdyutPa61YuuyFraEOgj2QUVRBWWF5ZQXlVMeUbAoL6pg4uhJ3vJyKorGUFZURnlRBaUFpTG7QaUbG1jsj2QGL8ikaG15eXlUl1RTXVLNXjWzt1kXCoUorgixaJWy7v/Zu/P4uOp6/+OvLG2StmlJmxQKhbYU+gHZLBQURDYrgsqiCChucAUREf2JoIiy6OVelauobF4FFBGRRcELymYpoJaiQMtePqUshUKhW2ibNk3TJL8/vmfaaTrZZiZz5sy8n49HHs2cc3LO98w0Oedzvt/P59uyiDda3uDJpXO479W7WbzmTVa1rWLssK03BiXjho+L5kAZ1+cwr2KTjyDkJuBiM3sQeLXbuolAc5b77atM4k+BvYEW4Hkzu9ndsz2W9ENequ9UVtLV1ERHUxMdu+2eeZv2diqXL6Ni2TJ2XLqEZX9/jpqXFrH9G88zdsMatmcNk56+jvarh23qURk3jo7tJ9AxYSIdO0yA4dkng5WCRFdK6uqicvGbVM95giFzQ0J5V3097XvvQ9uHj2LD+ReGyTql3P0d+LmZfS7VQ2Jmk4ErCXmJZaGrq4t1HetoWb8pgEj1QKxqW0lL++YBRGoI1Kr1q2jrWBcFESM3Bgz1Q+tDT8WQerYZvg07D92Z+qEjGTG0nvpo2x2325aVKzIPlRVJV8iJ+5JcrS1dRUUFo2pHssvoXdll9K5brG/raOOtNYtZvGYxi1veYPGaxTy97CkWt7zJW2sWU1tdFwUk27LNiHFsO3w7xg0fxzYjtqWprqmoelHyEYT8N6Gk4RzgBkLPxEgzm0roqXgwy/32VSaxHRgFbGDLJEVJsiFDQpnUbUIn2j6HfmCLeUIqxgxnlS8MuShL3o7Krs6h5s47qHr9NTpHjKBzhwl0TJhExw4T6JwQApSukaNiPjnJpGL5cqqfmsOQOU9Q/eQcKtavp33vabTv917Wnn4mXWPHxt1EKT5nEIKNhWa2jHAdaATmAmfG2bBsdHR2bAwYQgCxipb21Rt7IcJwp9BrsTrqtVgVBR2VFZUhgBgShjVt6p0IQcPYYdtsep3aZmg9w6qHZXVDEnIuFITEJUmz1GebX5PNOZbLTOU1VTVMGDmRCSMnbrGuq6uL5rYVLG5ZzOI1UYCy9Enuf/UeFq95k5VtK9l6+DZsN2K7kH+SloeyzfBxVFfmpWhuv+VjssI2MzscOAc4m3AheCBa/RTwrSx33VeZxB8DTxCqct3u7u/0trNyLqNYKsZ3e9246yTYNcNIwM5OeOstePVVePllePkl+PsMeOUVGDoUJk6EHXcMX5Mmha8xY4qmYlIpfWbpNp5XV1f4fJ5+Gp54Inw1N8M++8C0aXD6F2DSJIYWyefRl1L9vIqdu79mZnsQip/sRngQ9STwYDSkqqh1dnVy9oNnsbR1CavXr6atYx3Dh4xI63EIAcSIISOorxlJY10jk0btuFlwkerBqKnScMRyUWx5D33JJr8m23NUQYHQizK6dgyja8ewW+OWo03aOtpY3PImi9e8yRsti3ht9UJmL57Fmy1vsKx1GU11TVEOyvaMrx/P+BE7ML5+POOGbzsowyjzUaJ3hLu3AD8ys0vZNFnhYuA5d+/Ictc9lkk0sx0Is7NPIgzHutHMjnf323raWTmXUSxFfZ7bkHrYeY/wldLVRcXy5VS99ipVry2k8unnqfrLPVS9+ip0doQekx1SQ7om0jlhQphdvoCVlUryM9uwgabmxaz6+2yqn3+OquefpWLDBjbstgcb9tiTDed+h45Jkzd/n5e1xNfeASilzyuJwVRUEGUO0Ar8C6hPQgACIWn1m/udT2VFJSOGjGDYkOFFNUyiv5L0VL4UJCnvIWWg+TXZnqMKCvStpqqGiaMmMXHUlg9w2zvaeXvtWyxqWRRmk1+9iH8tns2bLW/w9X3OZe+t8z9vaz76XVaa2V+BE9x9HfB09JWr3sok1gIdQKu7d5jZEqAhD8eUUlZRQVdjIxsaG9mw9+a/TBXvNIfAZOFCqha+ypB/P0rVawupWLOGjh0mhK8JE+mMck46x22rsq/purqoeKeZykWLqHpjEZWLXqNq0SIq31hE1eI3YceJVO60C+37H0DrqacndlZyKR5mVkMoXnIK0AlMAX5iZiOBj7v7yt5+vhhsO6KHAh4JkbSn8qWgVPIeepPLOaqgQPaGVA1hfP32jK/PMIfcIMlHEFIBHADcbWZHufua1Aoz2x24xN2PzWK/W5RJNLOTgBHu/isz+y3wiJmtA14Crs/1RKR8dW3VwIatGmDPd2+2vKJldQhMXn+NqoWvUH3Xn6l6/TUqV6ygY/x4OneYuDEZvmOHCWH27X7Og1LUNmygYtVKKlatonLVSipWhu8rVnd7vWollStXUtG8Aqqr6Ri/PZ3bjadz/PasP/QDdI4fT8e242naYSytJdJjIEXjIsK8IAcC90fLfkQozXspcHpM7SobSXwqn3TlkPdQDucoQb4yUD4LfB/4m5kdmfYEajihN2PAeiiT+ELa+svIbUIqKYDuCeVJ0zWino7ddt+ykldrawhMXnuVyoULGTrj/tCTsuRtOrcZtykwmTCBjkmT6Zw4qTie/K9fT9UrL4d5XJYvC1XIli+nsnkFFatXU7F6VQgu2tbRNWIkXSNH0jlqFF314fuuUaPoHLUVXTtMDOvqw7KuhgZVrJJCO4FQuv0RM+uCjUVMTiPME6IgZJCVw1P5YlMOeQ/lcI4S5CsIWQ4cRpg5/QEzO9zd9VeojHV0dnLLzAXMnb+UFavaGD2yhqlTmjjxsJ2oKoVhTHV1dEwxOqZsPkMq69dTueh1qhaGvJOhs/5J1W+uhapq2vfZl87GRroaG+kcs+mL4cMHJ0Dp7KTy1Veo9heo9nlUvTCPqtdfCz04246Pjj+G9dvtwKraeoZtPYYhW40KwcbwERpuJsVuW2BhhuVvEyonyiDTE+vCK4e8h3I4RwnyVovL3VdHVbLuAv5uZh/I174leW6ZuYAZjy/a+Hr5qraNr0+aXsJ/SIYOpXPHyXRJFuBfAAAgAElEQVTuOJn21LKuLqpemEf1vOdCz8PCV6hctjxMzrg8XMA3BiQ7bEvdsJF0jh4TZpFvbKJrzBg6R48Jlb1609pK9bznqH72GaqfeZoqn0fX6DFs2GUXOqbsQtsHj6Bjp503Tuy3ZaD4DlOnDOHEw7ZNVKCY9N42ydpcwnxSP41ep8q0f5FQmVEGmZ5Yx6Mc8h5yPce4CybEffykyGtBYHdfa2YfBm4H/gGcn8/9SzK0tXcwd/7SjOvmzl/GcQdPLq+bxYoKOnZ9Fx27vivz+jVrwtCoZUup62il86XXqFy8mOpnn4kmbVxKZfMKuoaNoLOpkc7RY+hqbApBS/t6Kpcti3JWXmXD5J3YsMeerDvuBDp2263XIVJJDxRLvrdN+nIecG9UuGQIcJ6Z7Qq8B/hIrC0rE3piLcUo7oIJcR8/SfIRhHyStC7xaN6QY4CbCQmCUmZWtrSxYlXmiayaV69jZUtbcmfzHgzDh9M5fDidO0yApnraMiVwd3ZSsfIdKpeHHpSKZSGfg2HD2bD3BNZ/5Cg2TNllYy9HX0ohUOxvEKWektLk7v8ws/cB3wAWEJLUnwO+7O7Pxtq4MlIOT+UlWeIumBD38ZMkqyDEzCpTtdjd/dbu66Pa7ScA/wucmFsTJWlGjahh9MgalmcIRBrqaxk1QhNrDVhlJV0No+loGB2GVOUo6YFif4Ko6qoK9ZSUOHd/klAYZSMzG2JmB7n732NqlojEKO6CCXEfP0my7QlZbmbvc/fnzewLhHlBnnX31tQGUZDyxehLykjNkCqmTmna7Cl1ytQpjXoaXQSSHij2J4ia8cSiRA83k96ZWQfwfXf/XrdVo4EHAf2hkX5JH7+/3VZj2Xv0VD2xTrCBFEwYjNwNFWzov2wfB55NmNEc4GfAo8AqM3Mzu83MLjSzY81sx7y0soi0tXewpHktbe3ZTgRfHk48bCemTxvPmJG1VFbAmJG1TJ82nhMP2ymn/abe/3XrN+SppeUpFShmUqyBYvrvXiqIyqShvpa6mupee0r0+1sSKoCzo2tOXYZ1In1Kjd9f2rqMLjp5q2Upd758D/OWz4+7aZKlngojdF/e/bNP5W7k+tn39/iSZU+Iu/8m7eVIYDKwR9rXScCFQKWZtbh74icQUBLswFRVVnLS9Ckcd/DkvIzH7/7+NzXUsefkMXr/c5AKCOfOX0bz6nU01NcydUpjzoFivvX0u7fXzo3MfOKNLbafOqWR1rYNiR5uJv3SBRwOXAfMMrOj3X1R2jqRPmn8funpb8GEwfrsVbCh/7LNCbmQUB7xaXdfSEgKXECY5Ty1TS2we/SVeEmvJBSXmiFVebnZ6/7+L2lu1fufo3wHioOlp9+9D+yzHdOnjc8YRG3o6Er0cDPplwrgFeC9hMkJHzezjwN6hF3i8jmERuP3B0fcJWr7UzCht88+1/arYEP/ZJsT8lngIgAzW0WoyZ76mgs85+7rgMejr0QrhUpCSab3f3DlK1AcDL199k++uJxLTntPxiCqqhLlJZW+1CzpLWb2UeAyYCahWpaUqHyXP9X4/fxLSonanj77oZVDEtH+UpDVOBZ33xnYCjiEEIxsB5wFXAs8AbSY2bNmdqOZnZOntsamP0mwMnj0/veulPOU+vPZp4Ko7oHFYOUlSdHYmPfh7l3u/nXCdeiy+Jokg623ITTZ0Pj9/Mv3ZzRYevyMexjMWWztLwVZzxPi7quBf0QTRbUC7yd0g48DPg6cSRiveyjw49ybGp+kVxJKOr3/mZVDnlIun31ShptJ1k4BVqYvcPdrzOxF4PPxNEkGW76HT3Ufv79N/Vj2bni3nnjnIClD3HrK3bjr5fsybl9s7S8F+Zis8FzgZHefFb1eCjxtZlcAd0frE00lZ+Ol9z+zcshTysdnX8zDzWRgzGxbd38zevk3YIyZdd9sPvCdgjZMCmYwhk+lj99vaqpnaaYJY6XfkjTELVPuxuzFjyWm/UmXj8elVcAWV3h3Xw78KPpKPA3tiFf3939sQ11Zv/995cmU0tAs/e5JmtfNbGz0/SLg9QxfqeVSgjR8qvgl/TNKevuTJB89IbcBF5rZDHd/p9u6dkLJ3sTT0I54dX//J08cw+qVrX3/YIlK+oznA6HfPUlzGLAi7XuV4i0zKn9a/JL+GSW9/UmSr+FY9wMvmtnVwP8BSwADfkiJlUvU0I54pd7/2qHVlHOHeTnmyeh3T9z94bTvH4qxKRIjlT8tfkn/jJLe/qTIOQhx99VmdhDwbUJlku9GqyoI3eIn53oMEdlcKeXJtLV3qIdD+sXMft3fbd39PwazLZIfcc4nkenYTU37FOTYIpJjEGJmQ4AngTPd/ftmdglh+NU4YDnwlLuvz72ZItJdUmY870mxVPdSEJQo26d9X0UoE/8GMAdYD0wFJpA2ca4Urzjnk+jp2KO2qmPbqu17+cnyFfcEhFJ6cgpC3L3dzJpS+3H3TjZNWpgTM6sErgb2AtqAU919Qdr6fQn14CsIF6HPuXt5TxghZSXpuRJxV/cqliBI+s/dP5j63sx+AiwEvuju7dGyCuBKYHg8LZSB6G0+icG+ue3p2A++MptP76QgpLukTEAoyZKPK+0fgGPysJ/ujgVq3X1/4DzgJ6kV0YXmGuAUdz8QeACYNAhtkCKTmphv3foNcTelaPQ0WV8xK4bqXqkgaPmqNrrYFATdMnNBnz8rReFU4IepAATCpIXAz4FPxNYq6bc455Po6dhLWrYszSrJmYBQkiUfiekvA+ea2Qrgv/PYG3EgcC+Auz9qZtPS1k0hDPf6upntDvzV3V/I03GlCHV/at3UUMeek8foqXVCxV3dq68g6LiDJycqqCtTa4B3Ad5t+X5sqqAlRSzO+SR6OvbYEY2DfuwkSsoEhJJfgz0ELx9ByCWEru8LgLPN7CHC+NynCDkhL2W535FsPhtuh5lVu/sGoBE4APgKsAD4i5k97u4ze9pZQ8Mwqqt7vqloaqrPspnFrVTO65o/P7PZ0J0lza3MeHwRw+qGctqxJVEFeqPB/MzWrd9A86o2GkbWUDs0H7/+/Zd+XvWj6mhqqGNJ85Zllhu3qmPyxDGD2r7Fy9awYnXPQVDV0CE0NfZvRE+p/I4l0DXAdWa2K+GaU0G4LnwN+F6cDZP+2X/cvpsN8UlfHtexD520/6AfO4mSNAGh5EchhuDl4yo/EtiRkJC+Z/TviYQZayvNrMXdR2ax31VA+tW9MgpAIPSCLHD3eQBmdi8wDegxCGluXtvjgUp1htRSOa+29g5mPfVGxnWznnqTI/fbvmSeWg/WZxZ3/kOm89pz8piM1b32nBzmgBnM/7kd7R2Mru+5xHHH+vZ+fQ6l8jsGiQymLgY2EKoybh0tewO4wN1/HlejpP/inI+hp2Pvtc27SuZ3Op/iDBglHoXI2cpHid4u4KXo68+p5WZWC+wefWVjFnAUcKuZvRd4Jm3dy8AIM9spSlZ/P3BdlseRIhf30J1SEHcSeCZxVvcqpRLHZeyLwC/d/T/NrBHocvflcTdKBibO+Rg0F0T/aQK/8lOIIXiDNt7B3dcBj0df2bgD+KCZPULoZj/FzE4CRrj7r8zsC8BNUZL6I+7+17w0XIpOOU7Ml0/Fmv8Qd3WvpJc4Fn4IPAgscXdlE4sMMgVt5aUQQ/DyEoSYWTUwGVjr7q/nY59Rud8vdVv8Qtr6mYQERClxemqdm2LvSYprJvS4gyDJ2Vzgg8D8uBsiIlJqCjEEL+cgJBoqdQcwNnq9ljB0KjVfyFPuPjvX40h56/7UunGrTdWxpHfqSepdXEGQ5GwJcLmZnU8YortZlQN3PzyWVomIlIBCDMHLR0/IZYT8je8A84AbgF2B04FOwlAqPV6UnHR/aj15Ykhelr6pJ0lKVCvheiMiIoNgsIfg5SMI2YNQDjE1w9d17j7HzI4gBCin5uEYIsCmp9a1Q6sHtXpSqVH+g5Qadz8l7jaIiEj28hGEtAHr3b0jGorVAODu95rZXoTyiY/k4TiSo7b2Do19L1PKf5BSZGapsvCp/8wVQA2wr7uflsN+PwYc7+4n5d7K3Az2ZGEiInHJRxDyHCEp/UHCuNw9gAeidY8B5+XhGJKDuOeIkOKh/AcpFWZ2DnApm4b9dgGVwHpgRg77/TnwIeDJPDQzJ4WYLExESl+xPszIxx3oL4FJ0fc3EmZNn2Zmo4DPAz3PEigFkZojYvmqNrrYNEfELTMX9PmzIknU1t7Bkua1tLV3xN0UGTxnAt8HaoGlwA6EfMTngSty2O8jwBk5ty4PepssTESkP1IPM5a2LqOLzo0PM+Ytj7+wYD4mK7wp7eXlwJHAvwlPpbqAL+d6jGJXzMOcinWOCJHBoF6/srIdcIO7bzCzJ4H3uPsdZnYucAlwX28/HM019fVui09x91vM7JD+NqKhYRjV1T3/Dc1lJvp3NryTcd8rN6yMfYb7uI8/mEr13HReyZKv8/r9i3Mz/h2Z0/wkB+2yT16Oka2sghAzu5BQo/1pd1+YWh5NUHiomR1MuEDMcfcXethN4iXhhqfY54gQyadinBleBs1KQi8IwIvA7oRy8S8Ce/X1w+5+HXBdro1obu65s7+pqZ6lS7MvobFV9VYZJwtrqmvIab+5yvW8ilmpnpvOK1nyeV5vvLOELjozLH+7IO9db8FUtj0hnwUuAjCzVaTNCUIITma7+/os950YSbjh0RwRUi7U61d2HgJ+YGZfIvS+n2NmlwNHAyUxg3ohJgsTkdI2kJnPC507ktXjenffGdgKOIQQjGxHqIJ1LfAE0GJmz5rZjVHyYMnp64anWMaip+aIyERzRAy+cshNKJZz7E+vn5SUcwj5iJ8EbiEkqK8Afg78LMZ25c2uY6Zw9I5H0lTXSEVFJU11jRy945FFkVAqIsnQ00OL7svjyB3JOifE3VcD/4hmTG8F3g/MB8YBHyckDR4OHAr8OPemFpckDXPSHBGFl4SherkqtnNUr195iYYC72lmte6+3swOBI4AXnP3nDK33f0hQk9L7AZ7sjARKW39nfm8t0IYg/U3KB8les8FTnb3WdHrpcDTZnYFcHe0vuQk6YZHc0QUXhKG6uWq2M5RM8OXpygXEXdfA/wp5uaIiBSd/jzMWNa6IvPydZmX50M+gpAqYItH/u6+3Mx+BPwI2D8PxykqSbzh0RwRhVEOuQnFeo7q9SttZtZJqLrYJ3dP9C9Zsdb1Tyq9nyK9G0juSL7kIwi5DbjQzGa4+zvd1rUTJi8sSbrhkUySNFQvW8V6jur1K3mfY1MQMokwGe5VwKOESQr3JeQn/iCW1uWJJinML72fIn2LoxBGvoZj3Q+8aGZXA/8HLAEM+CEhT6Qk6YZHMknSUL1sFfs5qtevNLn7janvzWwWcIa7/y5tk7+a2fPAt0lwLmIcY7NLmd5Pkb71N3ckn/IxWeFqMzuI8Ef/LOC70aoKYBFwcq7HKHa64ZF0SRyqN1DlcI5S9KYSekC6ewpI9J1lHGOzS5neT5H+KXQhjLyUsHH3dnf/PrA1sDfwEeA9wE65VikRSaITD9uJ6dPGM2ZkLZUVMGZkLdOnjc/rUL24S+MW4hxFevE8cEb6AjOrJJTufTKWFuVJY13mMdiDOTa7lOn9FClO+RiOtZG7d7Jp0kKRsjWYQ/WKpTSuhiNKzL5JGH71EcIkuRWEnJDRwPQ4G5YrTVKYX3o/RYpTXoIQMzsG2JkwS+1zwLPu3pqPfYsk2WAM1SvG0rgajiiF5u4zzWwP4DRgN0LC+u+BX7r7luMEEySOsdmlTO+nSHHKOQgxs18BXwDeIsyiXgd0mNnLwNPAU+5+SRb7rQSuBvYC2oBT3X1BD8df4e7nZX8WIslQrKVxReIQXRO+FXc7BoMmKcwvvZ8ixScfPSEnABe6+38BmNlkQuCwZ/T1eWDAQQhwLFDr7vtHs7L/BDgmfQMzO51QAvjh7JsvkhzFWhpXpNDMbDjwNcI8VEMJw7E2cvfD42iXiIj0Tz6CkNWkVShx95eAl4Dbc9zvgcC90T4fNbNp6SvN7ABC8vsvgV362llDwzCqq3t+QtzUVJ9TY4tVqZ4XlO659XZe9aPqaGqoY0nzlqMdG7eqY/LEMdQOzWuqV96U4+clg+pXwNHA3whDgUVEJEHycbdyPXAE8EAe9pVuJLAy7XWHmVW7+wYzGwdcBHyM0BPTp+bmtT2ua2qqZ+nS1bm0tSiV6nlB6Z5bf85rz8ljMpbG3XPyGFavbKUY35Vy/rySIoHB1NHA8e5+b9wNERGRgctHELII+IaZLQKucvcNedgnwCog/apYmbbv44FG4G5gG2CYmb3g7tfn6dgiRStVAnfu/GU0r15HQ30tU6c0qjSulJs2YIs8QcnOvOXzQ+J26woa65S4LSKDLx9ByI+B4cBPgYvN7B+EEr1PEpLSs71IzAKOAm6NckKeSa1w98uBywHM7GRgFwUgUi5UGlcECJWwvmZmX3X3rrgbk2Tzls/frITt0tZlG18rEBGRwZKPIGQksCMhQXzP6N/jCTOoV5rZGnfPpp//DuCDZvYIIeHwFDM7CRjh7r/KQ7tFEk2lcaXMDQc+A3zMzF4i9IxspMT0/pu9OPOcwrMXP6YgREQGTc5BSPQEKpWM/ufUcjOrBXaPvrLZbyfwpW6LX8iw3fXZ7F9E4tXW3qGeHMlFFfCHuBtRCpa1rsi8fF3m5SIi+ZCvyQqrgcnAWnd/HcDd1wGPR18iIkDxzPieomAomdz9lLjbUCoa60aztHXLAmONtaNjaI2IlIt8TFb4XsLQqbHR67WE/I2nUl/uPjvX44hIaSiWGd+LLRiSgTOz1BDgVPRYAdQA+7r7abE1LGH2H7fvZjkh6ctFRAZLPnpCLiMkkX8HmAfcAOwKnA50Ei4KerwoIkU143uxBEOSHTM7B7iUTdeZLqASWA/MiLFpiZPK+5i9+DGWrVtBY62qY4nI4MtHELIH8D02lUq8zt3nmNkRhADl1DwcQ0RKQLHM+F5MwZBk7Uzg+8AlhFLxexPKuv8BuCLGdiXSrmOmKOgQkYLKx5iDNmC9u3cAa4EGgGgCqd8CZ+XhGCKShbb2DpY0r6WtvWNQth+oUSNqGD2yJuO6hvpaRo3IvC7f+hMMSdHbDrghmj/qSeA97u7AucDFcTZMRET6lo+ekOcISekPAi8TekZSs6c/BpyXh2OIyAAMNN+hUPkRNUOqmDqlKeOM71OnNBas9yEVDC3PEIgUMhiSnKwEaqPvXyRUYrwj+n6vuBolIiL9k48g5JfAbtH3NwJnm9k/CReCzxN6R0SkgAaa71DI/IhimPG9WIIhyclDwA/M7EvAv4FzzOxy4Ghgy1JPIlIS5i2fH/KXWlew3VZj2Xv0VA0lTKh8zBNyU9rLy4EjCReErujry7keQ0T6b6D5DoXOjyiWGd+LIRiSnJwL3Al8ErgKOBtITWzxzbgaJSKDZ97y+ZtVcnurZSl3vhNeKxBJnnyU6D0EeMTd10dzgxxqZgcTxuvOcfctJhgUkcEz0OTvuJLF457xvViCIcmOu78K7Glmte6+3swOBD4EvO7umacAF5FEm70486/27MWPKQhJoHwMx3oA2J/Q+wGAuz+ch/2KSBYGmu9Q7vkRcQdDkh0zexmY5u4rANx9DXC7mY0zsyXuPjbeFopIvi1rXZF5+brMy6W4ZRWEmFl1VJEEQn32nrZ7D3CHu2+bzXFEZOAGmu+g/AhJCjP7MDAtejkROM/MWrptNoX8PGATkSLTWDeapa1bpnw11o6OoTWSq2z/UH/HzM4AniXkfXzEzACecffWtO2GAmNya6KIDNRA8x2UHyEJ8QrwMzY9/PoEkF5PugtYjUrDi5Sk/cftu1lOSPry3qQnszfWaTLOYpFtEHIT0AzsSbgYnAtcAHRGXeRPAS8ABwHz89BOERmAgeY7KD9CksDd5xF6OjCzB4GPu3tzvK0SkUJJBQ6zFz/GsnUr2KZ+LHs3vLvXgKJ7MvvS1mUbXysQiVdWQYi7v0gowYuZHUUoifgWoTb7HoTg5GhgFfClvLRURAZsoPkOyo+QpHD3Q1Pfm1k14brztru/EV+rRGSw7TpmysbgoampnqVLV/e6vZLZi1c+SvRunfZyIaFkooiISN6Z2WeBrxF6QV4zs3cBdwPbA11mdj1wurt39LIbESkTSmYvXllNhWxmV5rZvzMsrzaz95vZB81sZO7NExERCczsBOB6Qj7immjx74CRwBHA+4ADgP8XR/tEpPg01mVOWlcye/yyCkKAQ4EH0xeY2XDgccIstvcBb5jZybk0TkREJM1XgQvc/WR3X25mewFTgSvc/W/u/i/gu8ApsbZSRIpGT0nrfSWzy+DLNggZDzzSbdlXCWNyrwc+BdwFXGtm78+6dSIiIpvsCdye9no6oSLWXWnLngYmF7JRIlK8dh0zhaN3PJKmukYqKippqmvk6B2PVD5IEcg2J2QI0L02+0nAInf/QvT6FjOrA74J/GOgBzCzSuBqQrJ7G3Cquy9IW/8pQpf7BuAZ4Mvu3jnQ44iISGJUAuvTXh8ErASeSFtWA6wrZKNEpLilJ7NL8ci2J+QF4D2pF2a2A7AbWyal30iYTT0bxwK17r4/cB7wk7Tj1QGXAIe6+/uAUcBHszyOiIgkw3OEvA+ivMMPAPe7e1faNh8j5IyIiEgRy7Yn5NfA983scUJuyDcIXeJ/7rbdEmBElsc4ELgXwN0fNbNpaevagAPcfW30upo+nnw1NAyjurrneQ+amuqzbGZxK9XzgtI9N51XspTqeRWpq4ArzGxPQjBSR5i8EDPbCjge+DZwRmwtFBGRfsk2CLkKOJgQJHQRJix8Gnig23YTCYFINkYSutlTOsys2t03RMOu3gYws7MIgc7fettZc/PaHtf1p850EpXqeUHpnpvOK1lK6bySEEy5+w1mVgt8kTBT+onu/mi0+r+AU4FL3f2GbPZvZqMIPfgjgaHA2e4+O/eWi4hId9lOVtgFHG9mRxLG5K4BrunWJQ5wAtl3i68C0q+Kle6+IfUiyhm5lDB77nEZji0iIiXG3X8F/CrDqh8AF7r78hx2fzbwgLv/zMwM+AOwdw77ExGRHuQ0WaG73wPck2mdmY0lBBHXZ7n7WcBRwK1m9l5C8nm6XxKGZR2rhHQRkfLm7ovysJufEq4r0I9hvqChvqWoVM9N55UspXpe6XKeMb0n7r4EOCSHXdwBfNDMHiEM9zrFzE4iDL16HPgCoerWzPDAip+7+x05NVpERMqCmX0B+Hq3xae4+2Nmtg1hWFafkx5qqG9pKdVz03klSymdV2/BVFZBSFQNK2vu/lo/tukEvtRt8Qtp32db2UtERMqcu18HXNd9uZntAdwMnOPuDxe8YSIiZSLbnpBXCQnpfanotl3qdc991yIiIjEws3cBtxES3p+Kuz0iIqUs2yBkUl5bISIiEr8fALXAz6Nhvivd/Zh4myQiUpqyrY61MN8NERERiZMCDhGRwlFeRRlpa+9gSfNa2to74m6KiIiIiJSx/vSEVJjZR4EZ7t5nuUIpPh2dndwycwFz5y9lxao2Ro+sYeqUJk48bCeqKhWHioiIiEhh9ScIGQZMB34YzVT7GHBXVIJXEuCWmQuY8fimEvrLV7VtfH3S9ClxNStv2to7WNnSxqgRNdQMUc0DERERkWLXZxAS9X78JfrCzPYDzozqqL9KCEiynRVdBllbewdz5y/NuG7u/GUcd/DkxN64q4dHREQkfvOWz2f24sdY1rqCxrrR7D9uX3Ydk/yHnDK4BpyY7u7/Bv4NYGYTgKPN7KvAO8B9wEPurqSDIrGypY0Vq9oyrmtevY6VLW2MbRhW4FblR6n38IiIiBS7ecvnc+fL92x8vbR12cbXCkSkNznNmB5VyboCwMzqgSOBy6PShv8E7nH3d3JtpGRv1IgaRo+sYXmGQKShvpZRI2piaFXu1q3fULI9PCIiIkkxe/FjPS5XECK9ySkISefuq4FbgVvNrAo4EDjPzBqAecCd7v5yvo4n/VMzpIqpU5o26zFImTqlMbE36s2rSreHR0REJCmWta7IvHxd5uUiKXkLQtJFw7EeBh42s92BbwOXmdkc4HB31//MAjrxsJ2A0EPQvHodDfW1TJ3SuHF5EjWMLM0eHhERkSRprBvN0tZlWy6vHR1DayRJ8h6EmFkl8H7gGOBoYCRwN3AccJ+7r833MaV3VZWVnDR9CscdPLlkqkjVDq0uyR4eERGRJNl/3L6b5YSkLxfpTd6CkGgukeOBjwArgDuB/wD+6e6d+TqOZK9mSFVJDVEqxR4eERGRJEnlfcxe/BjL1q2gsVbVsaR/8tkT8l5gG+Agd38+j/sVyagUe3hERESSZtcxUxR0yIDlMwi5APiAAhAptFLr4REREREpdfmsjtUFzMjX/kREREREpDRpWmkRERERESkoBSEiIiIiIlJQCkJERERERKSgKrq6uuJug4iIiIiIlBH1hIiIiIiISEEpCBERERERkYJSECIiIiIiIgWlIERERERERApKQYiIiIiIiBSUghARERERESkoBSEiIiIiIlJQ1XE3IC5m9h7gR+5+SNqyk4Cz3H3/2BqWo/TzMrOxwDVAA1ABfM7dX4m1gVnqdl67ANdGq+YDp7p7Z3ytGzgzGwL8GpgI1ACXAM8D1wNdwLPAmSVyXq8BVwAdQBvh/+HbcbUxW5nOzd3vjNYl/m+H5IeuLcmia0sy6NqS3L8dvSnLnhAz+ybhD01t2rKpwBcIf1ATKcN5XQr83t0PAi4Edo+rbbnIcF4XA//t7gcSfmE/ElPTcvEZYLm7vx84ArgSuAz4brSsAjgmxvZlK9N5/ZzwR/QQ4HbgW/E1LyeZzq0k/nZIfujakiy6tiSKri0lqCyDEOAl4OOpF2Y2Bvhv4P/F1qL82Oy8gPcB481sBvBpYGYsrcpd9/NaB4w2swqgHqM4qmkAACAASURBVGiPpVW5uQ24IPq+AtgA7AM8HC27B5geQ7tylem8PunuT0bLqgmfXxJtcW4l9LdD8kPXlmTRtSU5dG0pQWUZhLj7n4j+uJhZFXAdcDawOs525Sr9vCITgWZ3n07otkzkU4IM53U54QnIPGBr4KEYmpUTd29x99VmVg/8EfguUOHuXdEmq4FRsTUwS5nOy90XA5jZAcBXgJ/G2cZsZTi3CyiRvx2SH7q2JIuuLcmha0tpKssgpJt9gJ2BXwA3A+8ys5/F26S8WQ7cGX1/FzAtxrbk043AQe6+C3AD8JOY25MVM9seeBD4nbvfBKSP0a0H3omlYTnKcF6Y2YnA/wIfcfelcbYvF+nnBrxI6f7tkNzp2pI8urYUMV1bSk/ZJqanuPu/gd0AzGwicLO7l0r31z+BDxP+Ux8EPBdvc/JmOLAq+v5NwtCARDGzrYH7ga+4+wPR4rlmdoi7PwQcSfiDlCiZzsvMPgOcDhzi7ivibF8uevjMSvVvh+RI15ZE0rWlSOnaUjJ/OzZT9kFIifsGcK2ZnQGsBE6KuT35cirwRzNbB6wHTou5Pdk4n1BZ5gIzS40F/RpwuZkNJQwH+GNcjctB9/OqIiStLgRuNzOAh939oviamLVMn9mR7t4aY5tE4qBrS/HStSV5yvbaUtHV1dX3ViIiIiIiInminBARERERESkoBSEiIiIiIlJQCkJERERERKSgFISIiIiIiEhBKQgREREREZGCUoleKTlm9hBwcA+rz3L3K83sVeBad7/EzKqj5T+Nfr4C+Cxwr7svyaEdG4BT3f36bPfRy76vB8ZHMxaLiMgg07VFJL8UhEipuolQy7671ERU+wJro+9PBC4Dfhq9PgD4LTBpMBsoIiKJo2uLSJ4oCJFS1erub/W00t2Xpr2s6La6+2sRERHQtUUkbxSESFlKdZkD/wR+Fy3rAk4BfhNt9oqZfc/dLzaz3YGfAO8HVgB/Bb7l7u9EPzsauBL4CLAG+HYvxx4BvAV8Jb073cyuAvZy9wPNbCLwP8ChwCjgDeAqd/+fDPs7BHgQ2N7dF2VaZmY1wH8TZjYeDsyN2v9otP3WwC+AQ4AaYDZwjrs/2dd7KSIiga4turZI/ykxXcrdI8BXou/HAbcBx0Sv9wN+bGbbAQ8DTwNTgU8A7wJuT9vPbcAewBHRz38FqMp0QHdvAf4EfCq1LBo7fAJwQ7ToLqCWcKHYNVp+qZm9O8vzvAE4KDrGNGAm8JCZTYnWXw0MAd4H7A2sjtooIiIDp2tLoGuL9Eg9IVKqPm9mn+y27GZ3PzV9gbuvN7OV0fdvAZjZimj1UndvMbPzgJfd/dzUz0X7XmRm+wPvAIcBB7n77Gj954Hnemnfb4H7zWxslKD4IWAEcKuZ1QHXR+19I9rf94HvEC5GA3qCZGY7ES4Qu7t7qk3fM7MDCWObTwd2IlwIX3H3dWZ2OvAuM6t0986BHE9EpITp2rKprbq2SE4UhEipugM4v9uy1Vnuayow1cxaMqzbNW2/T6QWuvvzZtbb8R4kdIMfD1wFfBq4M60L/krgRDPbD9gZeDeh5zLjE7B+tB/gX2aWvrwm+gL4T8ITrePM7GHgHuD3ukiIiGxG15bN2w+6tkiWFIRIqVrl7gvytK/1wP3AVzOsWwp8MPq+e9Lh+p526O5dZvY74FNRScRjCBeN1LjefxB+P/9IuKj8C1g4gDan/26n2rE/0Nptu7aoPX80sxnAh6PzuQA438z2cve3B3BcEZFSpmvLlu3QtUWyoiBEBLr6eP0c4WnSQndvB4iS+64EzgOeirY7APhb2voxfRz3BkKS4amEJ173Rcs/RHg6NcbdV0T7M8LTqkzVVVIXgpFpy3bu1n6Ard19RmphlKw4z8x+QUhUvMHdbwJuMrOxwNuEmvi39nEeIiKyJV1bdG2RXigIEYm6vM1sX2Aem7rAp5pZM+GC8BXgt2b2A0I385VAAzA/Gvv7f8DVZnYqsBK4HOi1u9nd55vZvwjd1de4e0e06vXo30+b2Z2EMbU/BtrZ1MWd7hmghfB06SLCRWJjHXt3X2BmtwC/MrMzgfnAfwBfAg539w4z2w34pZl9FVhCuDC2A3P6eO9ERCQzXVt0bZFeqDqWSOiSfhiYBXwReJ5QveNm4HtRUuF0YGtC1/V9hD/mH3T31JOiz0T7+DMwg1CBZHE/jv1boJ5NlUtw938D5wLfApxQ/vD8aL/7dt+Bu68mzMI7LWr799lyMq1TgbsJJSKfBY4EPu7uD0TrPwe8FLV7HnAscEwehx2IiJQbXVt0bZFeVHR1de8dFBERERERGTzqCRERERERkYJSECIiIiIiIgWlIERERERERApKQYiIiIiIiBSUghARERERESkoBSEiIiIiIlJQCkJERERERKSgFISIiIiIiEhBKQgREREREZGCUhAiIiIiIiIFpSBEREREREQKSkGIiIiIiIgUlIIQEREREREpKAUhIiIiIiJSUApCRERERESkoBSEiIiIiIhIQSkIERERERGRglIQIiIiIiIiBVUddwOkuJjZ9cDnM6xqA94GZgDnu/vbg3T8h4CJ7j4xH9sNdjviZGaHAA8C33P3i+NtjYiIiEj/KQiRnnwdWJb2eiQwHfgPYJqZ7evu6wfhuP8FDB+E/YqIiIhIkVAQIj35s7u/2m3Z1WZ2NXAGcCxwa74P6u5/y/c+RURERKS4KCdEBuq30b/vjbUVIiIiIpJY6gmRgVoT/VuRvtDMPgqcD7ybkD8yE/i2u89P22YH4KfAAUAD8DJwPfBjd++MtnmIbrkYZjYd+D6wF7AY+Hb3RvWUw9HD/o4HvhK1tQ54A7gNuMDd2zKdtJnVAD8Cjga2A5YAdwLfdffmHn7mROBm4Dh3vz1Du7Z398lmVgFcAHwamACsBO4n5N68nmnfA2VmtcB3o2NsBywCbgQucff1ZjYuWnaVu3+1289eDFwITHL3hX3tK/qZk4HfAJ8AfgxsDVzq7heb2U7R+X4AGAu0ALOA89z9ubTjjgR+AHycMBxwJuEz+AdwirtfH21XSRg+eBowiTCM8I+Ez3NVHt4+ERERyTP1hMhAHRH9Oze1ILrhvJMQoHwTuAzYH/iXmU2JthkC3AvsE60/C3DCTeV5PR0sCkDuAUYRbnxvJdzc7p1N483s1Ggf7wDfAs4BFgLnAv/Zy49eSbjJvRn4MuEm94vALb38zJ3AauCEbm0YB7wfuCladD5wEeH9ORO4hjDc7X4zq+r/2WUW7eMvwDeiNn2VcEP/HeBPZlbh7osJSe7HRTf16U4EZkUBSJ/76vaz1xEClIuAGWa2NfBodP5XEN7Lm4DDo/Mdktbmewnv8a2E/yNjgP/LcIrXEf4fzYracxvwJWBmFDCJiIhIkVFPiPSkwcxa0l6PAj4EXAzMA/4AG59W/xy4xd0/ldrYzK4BnifcHH4MmArsChzv7n+MtrmWEGBYL+34IaH3Y//UU20z+xvhxndFFuf1DWA2cKy7d0X7uxp4hRBgfbOHn/s08Gt3Pz/tHFuAI8xshLu3dP8Bd281szsIN/Z17t4arTqe8ADg92n7vsfdv5a279cJuTcTgZeyOM90nyX0Ohzh7velHePfwC8JvTv/F7Xn18D7CL0NmNmewC5RWwayr5Q/uPsFadt9CxgNHOjuL6QtX00INPYA5gAnEQLZ09z92mib/wX+CeyX9nOHACcDX3L3X6Ytvxu4Dzid8P9TREREioiCEOnJnAzL1hJuMM9y9/Zo2QcJQ2X+bGaNadtuIAQKHzazauBNoAs4P7rhfDAaunMEPTCzsYSek0vTh9W4+4Nm9jQhMBqoPYHhqQAkMhZoBkb08nOLgBPN7HFC0v470c31Bb38DIQb+88BHwb+FC37JDAn7SZ8EXComX0NuNnd345uqH+5xd6ycxywFHii22d0N9ABfJTwuf4JuJrQc/OPtLa2E3oXBrKvlL+nN8Tdf2Rmv3H3JallZlYX/Sxs+gw+RvhMfpP2s+1mdhmhNyr93LqAu7u1Zw7wVtQeBSEiIiJFRkGI9OQzhHlBhgBHEoYJ3Qqc4e7r0rabHP17Mz1rcvdFZvZNwhj/e4EWM3uAMJzpVnfvyPBzE6J/M/UEvAC8p78nkxLdyE4zs08RnvDvRAhCIAzL6skZbBoKdo2ZzQbuIPSOrOzl5x4gvI/HE4Yr7UBI6j83bZtzgLuAnwE/NbMnCEOdrnH3twZ6jhlMBpoIwUMmOwC4+yoz+wuh5+ZrUZ7OCcB97r58IPtKsyTDNkPN7BJCgLkTIY8jNewsNRRsZ+CVDP8vXuj2ejIhP+m1HtqjnBAREZEipCBEejIrrUTvPWb2InA5MNrMjk3rSUjdPH6RMKQpk2YAd/+xmd1ESDT+MCEP4BhCT8GRGX4udYy6DOv6m8+0WU6FmV1BSEqfSxiW9TvgEULOR/cb6I3c/YEogDiK8HT9cEJuy9fNbB93z3hT7u4dZnYL8IXoif8J0Xn9IW2bp81sZ0Kv0FHRv98HvmFm700ftpSlKuBFQv5FJumJ9TcRkskPNLO1hJv872a5L9jUwwGAmb2fMEyqBfgbYfjXnOg4V6VtOoSQT9Pdum6vq6LtPt5De1p7WC4iIiIxUhAi/eLuV5jZBwhBw/8jVLkCeDX6d6m7z0j/meiGsxpoM7NRhLyQ2e5+JXClmQ0nVMf6hJnt4e7PdDvsq4Qb9p0zNGnHbq87gJoM222T1p4JhADkd+7+uW5t3ab7D6atG0qozPWmu98M3Bwlb58N/A9hyNIVPf08YUjWVwlD104AHnL3N6N9VxHyIFrc/U5CDwhmdgKhl+g0Qh5LLl4FpgEzU1XIomMMISTAp1fgupuQtH8sYUhdS6pNWewrk+8RAoPd0gM3Mzu/23YvA/tGSfPpQ+e6/194lRAQPu7u76SvMLOPsfmEmyIiIlIkVB1LBuJ0wpPuS8xsUrTsb4Sn0+emKhvBxgpQdxHyOboIN+APEp70A+Dua4Bno5dbDMdy92WEnILPRFWVUvveny2rY70FjDWzbdO2Sw33SRkd/ft8+g+a2YcJN7c9BeUNhIpOG0sDRzfgj/XU9m7n8W9gAaG3aF82JaRD+B18kDAUK92/+rPvfrqTcO5ndFueqhQ2Pa2tbYTKXx8lBJx3uPvabPbVgzHAkm4ByChCcjls+gzuABpJqywWBX5fynBuEKpzkbbtkcDthKR/ERERKTLqCZF+c/e3o+pGvwL+F/iQuy+LnmJfBsw2s98Thsh8mTCM6pzox/9KqKp1XRQcLCDkZHwFeMDdnyezbxCSpB81s6uA4YQ5Ibo/4f4DoaLSPWb2C8K8FGcRhg4NjbZ5npA7cH5UunURodLSZwjlgsf1ct43AF+Oem8eIdxMf4WQ79GfmeN/TyhT28amBPVUjsrPgIujSlr3AsMIActawnClvny0h56c1939v4Brgc8DV0Tv/b+A3Qg39HNIS/5Oa+up0fdf7bZuoPvq7h7gW2Z2K2EulG2iY6WGXtVH/14f7fN3UdD5IiEJff9ofap35G5CIvw5ZrYjMAPYnvDZv0aYo0RERESKjHpCZKCuJZRJPdzMPgfg7j8lPLHeAPwXocdgAXCYuz8cbdNKKPGbejqdqsJ0NT2P58fdnwAOJgzPuZhww3oRIeE7fbu/EJLn6wjVkD5BeFp/f9o2bYRclNmEIWWXEW5YDyEMLxsZ3VhncgZhHpEDCLkx5xDmpTgw6rHpS6r3468ZEtn/kxBY7QT8JDq/l4GD+pkPsg+hl6r71/Gw8bw/EO37sKj9RxMCycO79XRA6H1aREgq32yIXRb76u7i6Gf3J+SAfCp6fQCh1+ew6DjthP8vvyeUBb6UMIljqiekLdquKzrP7wK7E3qUPkf4f/Z+d3+7j/aIiIhIDCq6urr63kpEpIDMbDSwOq0UdGr5cYThYh9w95mxNE5ERERypp4QESlGXwXWmtn4bss/Sehxm1v4JomIiEi+qCdERIqOme1KCDReBq4h5MccThi6d0n6LOwiIiKSPApCRKQomdm+hPyY/QgFCeYDV7v7NbE2TERERHKmIERERERERAqqbEr0Ll26uiSirYaGYTQ391WAqDzovdhE78Umei82Gch70dRUXzHIzSlJuVxbivH/qtrUP2pT/6hN/VeM7cpHm3q7tigxPWGqq6vibkLR0Huxid6LTfRebKL3orgV4+ejNvWP2tQ/alP/FWO7BrtNCkJERERERKSgFISIiIiIiEhBKQgREREREZGCUhAiIiIiIiIFldjqWGY2BPg1MBGoIUxgdmesjZLEaGvvYGVLG6NG1FAzpPiSwURERERKWWKDEOAzwHJ3/6yZjQaeBMoiCNENdPY6Oju5ZeYC5s5fyopVbYweWcPUKU2ceNhOVFWqY1BERESkEJIchNwG/DH6vgLY0NvGDQ3DirL82UB0dHRyzZ+f4dFnF7P0nVaatqrjvbuP4z+O2o2qqvK8gW5qqh/Q9tf8+RlmPL5o4+vlq9qY8fgihtUN5bRj98h38wpqoO9FKdN7sYneCxERKUaJDULcvQXAzOoJwch3e9u+2CaAycZNM+ZvdgO9pLmVO//xMmtb13PS9CkxtiweTU31LF26ut/bt7V3MOupNzKum/XUmxy53/aJ7Vka6HtRyvRebDKQ90LBioiIFFKiH5+b2fbAg8Dv3P2muNszmNraO5g7f2nGdXPnL6OtvaPALUqelS1trFjVlnFd8+p1rGzJvE5ERERE8iuxQYiZbQ3cD3zL3X8dd3sGm26gczdqRA2jR9ZkXNdQX8uoEZnXiYiIiEh+JXY4FnA+0ABcYGYXRMuOdPfWGNs0aFI30MszBCK6ge6fmiFVTJ3StNmQtpSpUxoTOxRLRPrPzCqBq4G9gDbgVHdfkLb+Y8B3gC7g1+7+i1gaKiJS4hIbhLj714Cvxd2OQtENdH6ceNhOQBjC1rx6HQ31tUyd0rhxuYiUvGOBWnff38zeC/wEOCZt/U+BvYEW4Hkzu9ndm2Nop4hISUtsEFKOTjxsJ4bVDWXWU2/qBjpLVZWVnDR9CscdPFlljkXK04HAvQDu/qiZTeu2vh0YRai4WEHoERERkTxTEJIgVZWVnHbsHhy53/a6gc5RzZAqxjYMi7sZIlJ4I4GVaa87zKza3VNl3n8MPAGsAW5393d621mu5d+LsSqZ2tQ/alP/qE39V4ztGsw2KQgREZFysgpIv6pWpgIQM9sBOAuYRBiOdaOZHe/ut/W0s1zKvxdjOWm1qX/Upv5Rm/qvGNuVjzb1FsQoCEmQjs4wWeGsp97QbN8iItmZBRwF3BrlhDyTtq4W6ABa3b3DzJYQCqCIiEieKQhJkFtmLsg42zdQlpMViohk4Q7gg2b2CCHn4xQzOwkY4e6/MrPfAo+Y2TrgJeD6+JoqIlK6FIQkRF+TFR538GTlh4iI9MHdO4EvdVv8Qtr6y4DLCtooEZEypDE8CaHJCkVERESkVCgISQjN9i0iIiIipUJBSEKkJivMRJMVioiIiEiSKCckQYphssK29g7NUSIiIiIiOVEQkiBxTlbY0dnJLTMXMHf+UpUHFhEREZGcKAhJoDhm+1Z5YBERERHJl0F/hG1mFWb2GTMbH72+wMyeNbNrzWz4YB9fctdXeeC29o5ef3ZJ89petxERERGR8lKInpCLgHOA6Wa2I/A94BfAocClwJkFaIPkoD/lgbv3zGj4loiIiIj0pBB3gycDn3b3R4HjgVnufibwBeC4AhxfcpRNeeDU8K3lq9roYtPwrVtmLhjk1oqIiIhIsStEELIN8ET0/YeAe6PvFwP1BTi+5Gig5YFzGb4lIiIiIqWvEMOxXgb2MbMmYCfgnmj5UcBLBTi+5EGqDPDc+cv6LA+czfCtUqNSxiIiIiI9K0QQcilwC9AJPOzuc8zsAuBC4HMFOL7kQVVlJSdNn8JxB0/u8+Y6NXxreYZApNRnd1cujIiIiEjfBv2uyN2vB/YDTgKOjBbPBg529z8M9vElv1LlgXt7ul/Os7srF0ZERESkbwWZJ8TdnwaeTns9oxDHlfgMZPhWqegrF+a4gyeXdAAmIiIi0l+DEoSYWTvQ1Z9t3X3oYLRB4jWQ4VulQrkwIiIiIv0zWD0hp9HPIERKWxyzu8elnHNhRERERAZiUIKQKA9EpKykcmFmPL5oi3WlngsjIiIiMhCDnhNiZrXAF4E9gNRdWAVQA0xz9ymD3QaRQinHXBgRERGRgSpEYvpVwKeAfwMHAn8HJgNjgYsKcHyRginHXBgRERGRgSrExAVHAZ9390MIExeeSQhC7gQyZ/GK5FFbewdLmtcWdKb2/pQyFhERESlXhegJGQX8K/r+OWAfd59nZj8kTGL48wK0QcqQJg4UERERKU6FCEIWA9sBrwHzgT2j5SuB8QU4vpShtvYObrzPmfXsWxuXpSYOBDhpulKRREREROJSiCDkduB6MzsZmAHcaGazgGMBTSMteZXq/ZjjS1ixen3GbTRxoIiIiEi8ChGEfBsYAkxy95vM7C7gDmAVcHwBji9l5JaZCzKWyE2niQNFRERE4jXoQYi7twFnpb0+1cy+Caxy9w2DfXwpH23tHcydv7TP7TRxoIiIiEi8CjFPyEm9rMPdbxrsNkh5WNnSxooMs5V3p4kDRUREROJViOFYN/awfB2wCFAQInkxakQNo0fWsLyHQGRMWnUskXxoa+/QfDAiIiJZKMRwrM1qoZpZFTAF+AXwy8E+frnQzVCYm2PqlKaMOSEH7L4Nn/2Qle17I/ml8s8iIiK5KURPyGbcvQOYZ2ZnA7cCfyh0G0qJboY2l+rlmDt/2f9v787j46rr/Y+/ZrK3WZq2YS2ytOTDXotlRwqlZbmIslerKCAgXvWH4gYqbnfhugAiCArCRVC0bnhFFATKZqEiWhAQPqWsUsAupGnaJJNkMr8/zkw7TSfJZJJzZpK8n49HH50558x8P/kmmZzPOd/P90tLWyeNddXMap46bvtDwtF3AgRN/ywiIjI0kSchWXqAHYrY/pigk6EtlcXjLJzXzKlzpo/7O0MSjoEmQND0zyIiIvkpVmF6PXA+m1dSH877HwR8w92PHO57jTY6GepfVUWZpuCVUAw0AYKmfxYREclPsQrTu4FHgX8fzhunp/o9E9g4nPcZrUrxZEi1KTLWDTQBgqZ/FhERyU/khekj7AXgFODWwQ5sbJxAefnYOCluaqoDoK6hhqbGGla1dGx1zNRJNUzfZQrVldGMuEsme7npjmdY+vQbrF7XQdOkGg7eZ3vOOXFvysrC+xHI9IWoL7KF3ReHzdyR3z78Yo7tOzBth0mhtj1U+rkQEZFSVMyakGFz91+Z2S75HNvS0h5yNNFoaqpj9eq2Tc/3mz4l52xQ+02fQltrB21b7QnHbfcu3yKOVS0d/PbhF2nv6AqtNqVvX4xn+fbFeLhTFcXPxYmHvI32jq6tJkA48ZC3ldTP5FD6QsmKiIhEKZQkxMxeAlL5HOvuu4URw3gx0GxQUVFtSunTLGojSxMgiIiIDE9Yd0J+mPV4KvBx4NfAUqALOABYAHw7pPbHjVI4GSrF2hTZkmZRC4cmQBARESlMKEmIu/9X5rGZ3Ql81t2/k32MmT0KvD+M9sejYp4MqVC3tOlOlYiIiJSaKGpCjgQuzLF9MXDlcN/c3V8GDh7u+0jhBlqpfFbzVJ3gFpnuVIlsZmZx4FpgJpAAznX3FVn7DwCuAGLASuCD7p77F0hERAoWxWDwV4CTc2z/ELA8gvYlAgvmzmDe7GlMqa8mHoMp9dXMmz0t0toUyS1zpyoX3amScegkoNrdDwEuBi7P7DCzGHADcLa7Hw7cB+xalChFRMa4KO6EfBX4qZkdA/yV4OrSocBBwLsjaF8KNJSZlEqhNkVy050qkS0cDtwF4O5LzWx21r5mYC3wKTPbB7jT3Z8rQowiImNeFOuE/NzM3iRYmPBdBLNmPQF80t3/Gnb7MnTDmUlJhbqlqRRmURMpEfVAa9bzpJmVu3sPwUQqhxJMprIC+J2ZPe7ui/t7s+GuQVWKUyMrpvwopvwopvyVYlxhxhTJOiHu/hDwUBRtyfBpJqWxR3eqRDZZD2T/VY2nExAI7oKscPdnAczsLmA2QQ1jTsNZg6oU1zpSTPlRTPlRTPkrxbhGIqaBkpiw1gm5HrjI3TekH/fL3c8PIwYpjGZSGtt0p0qEJcCJwM/N7GDgqax9LwK1ZjYjXaz+TuDGIsQoIjLmhXUnZPes9959gOPyWtBQoqOZlERkjLsdmG9mjxDUKJ5tZguBWne/3sw+DNyWLlJ/xN3vLGawIiJjVVjrhByV67GUPq35ISJjmbv3Ahf02fxc1v7FwIGRBiUiMg5FMUUvZrazmdWlHx9lZteY2QeiaFuGJjOTUi6aSUlERERERkLoSYiZnQY8DxxsZrsDdwNzgOvM7FNhty9DpzU/RERERCRMUcyOdSnwdXe/x8y+SlD4tx/BglHfZARWTZeRpZmURERERCRMUQzHMuCW9OPjgN+5e4pg4cJpEbQvBcrMpKQERERERERGUhRJyBpgWzPblmC+9T+mt+8LvBlB+yIiIiIiUkKiGI71M+A2oB1YCdxnZguA7wIDriEi41uiO6nhYCIiIiJjUBRJyOeAV4DpwLXunjSzyQS1IN+IoH0ZZZK9vSxavIJly1fz1voEk+urmNXcxIK5MyiLRzKhm4xTSnxFRESiEXoSkp6T/WoAMytPb7su7HZl9Fq0eAX3Pv7apudr1yc2PV84r7lYYckYpsRXREQkWlGtE3KmmT0HbDSz3czsOjO7NIq2x5rOrh5WtbST6E4WO5RQJLqTLFu+Oue+ZcvXjNmvW4ork/iuXZ8gxebEd9HiFcUOTUREZEwK/U6ImX0Q+A7wbeBL6c1PAt82s4S7fzPsGMaCzJXav7+wltUtHWP2Sm3rhgRv5VitHaClESxFKAAAIABJREFUrZPWDQm2aZwQcVQylg2W+J46Z7qGZomIiIywKM5ePw183N3/G0gCuPv3gfPT/yQPmSu1q1o6xvSV2obaKibXV+Xc11hXTUNt7n0ihcon8RUREZGRFUUSsjvwaI7tS4EdI2h/1BtPQ5SqKsqY1dyUc9+s5qm6Ii0jTomviIhI9KJIQl4F3p5j+9HpfTKIUrhSm+hORlaLsmDuDObNnsaU+mriMZhSX8282dNYMHdG6G3L+KPEV0REJHpRTNF7OXCdmW1HkPTMMbOzgIuASyJof9TLXKldmyMRaZhYRU1VeN/GYswaVBaPs3BeM6fOma7pUiUSmQR32fI1tLR10lhXzazmqUp8RUREQhLFFL03pKfm/QJQA9xIsGjhp939B2G3PxZkrtRmT1ub0bIhwddv/ktoiUExp8utqihTEbpEQomviIhItCKZVsndr3P3nYBtgEnuvpO7/8DMYlG0PxZkhiht01iz1b6witTHUy2KCGxOfJWAiIiIhCvUJMTM9jGzPTLP3X2Nu6/P7CN3wbrkkLlSe8Un5zCptjLnMSOdGBSjFiXK2hMZ2/SzJCIiUrpCGY5lZrsB/wfslX7+OHCCu68xswrgq8BngJYw2h/L2jt7aN3QlXPfSK+jMVAtykjPGjRitSddXcTfWkusrY34mtXE33yDWFsbPfvNpGfmLIjp5ttYl0z2ctu9y7X6uYiISAkLqybkCqAO+BDQRbBI4TfN7IvA74GZwC0ExekyBI310SUGA9WijPSsQQXXnqRSxF96kYrHH6Pi8ccof/Yf9DY0kKqtpXfyFHq324HUxInUXHMVsWSSxInvoeuY40jV1o1Y7FJabrrjmaLVMYmIiEh+wkpCDgM+5O6/BzCzZ4CHgD2BycCx7n5PSG2PeXu8rZElT7+51fYwphONYtagoa5YHVvfSvlfH4dnn6ThoT+Rqqyke/aBJE46lQ1f+U+YOHGr9+k85zzKn/47Vb/9DdW33kz34UeQOOkUktN3H7GvQ4ov0Z1k6dNv5Nyn1c9FRERKR1hJSCPwZOaJuz9jZrXpp293dw3DGqLMcKW/v7CWVS0dVFfGgRhd3clQpxONYtagQWtP1m1k+zdf3nS3I/7PV4OhVXOPoO09Z9C747TBG4nF6Nl3Jj37ziTW8hZVf7iTiV+6mN7tdyBx0ql0H/ZOKNPJ6WjXuiHB6nUdOfeN9HBFERERKVxYSUgc6O6zrQv4rBKQwvQdrtTZ1QvAoftsx5nHWuhXd8OcLre/2pNdVr/E8S8sYcYj3yK1/fZ0zz6QjvMuoGfvfaGigglNdfSubhtye6nGyXQuPJPOM95HxZKHqbr9l9R8/xoS7z6Zrn97F6n6hpH60iRiDbVVNE2qYVXL1omIVj8XEREpHVEsVpjt9YjbGxMGGq7kr66LOJqR17f2ZNvWf/GuZXeyY8vr/Os9Z9D20TNINU7O+/0S3cn87tqUl9M95yi65xxF2fPLqbr9l9R/aCHd75wTDNXaTQvVjTZVFWUcvM/2/PbhF7fap9XPRURESkdYSUgq/W+wbZKH7OFKc559EIDHph9IR2UNb42RISYL5s6grLuLpltvxJY/zp/fcQz//OQlnH7MnqTynNFoODNsJXdvpv1zXwiGav3+d9R+4XMkd9yJxMmn0n3o4aBZlUaNc07cm/aOLq1+LiIiUsLCSkJiwEoz69uW99mGu+de9EI2yR6u9Px2Mzj6mcUc89Q9/P1t+/Jo86Hc/dgOLJzfPKqnH6149RXO/dW36NpzV1Z+45ecsN3Qr1qPxOruqcbJdL7/g8FQrT89RNUvfrZ5qNbxJ5Cqqx9STBK9sjKtfi4iIlLqwkpCzg7pfcel7OFKrzfuyK2Hn0ltRxsHvfAYH3roR2xc+kse/+sJHHThmTlnhippqRSVd95Bzf/eQMd5H6Xr2OOZWsBaHkOdYWtQFRV0H3U03UcdTZk/FwzV+uD76J5zFJ0nnUrvLrsOOUaJVph1TCIiIjI8oSQh7v6jMN53PFswdwbJ3hQPPrGS3l7YUFPHffsczeK9j6L5jeXMfewx6hf+Hz2HHEbXMcfR8/b9Cx5ClHdNxTDFNrQx4cpvE3/tVdquuJrenXcp+L3yWd290BPSpO1B+8VfIvbWWqruvIO6z19EcuddSJx8Gt0HHZKzn6PqQxEREZHRKOrCdClQWTzOsQfsxP1/W7nF9lQsju+wB8/vuAe7nWHs8MSj1PzwB8Ra3qLr6Pl0zTs276v2I7ZqeT5fzz+eYeJlX6f7wEPY+PkvQuXwRuVFsbp7avIUOs88i873vp/Kh+6n+sc/oua6q0m85xS6jj2eVG1dpH0oIiIiMlqN2iTEzOLAtQSrryeAc919RXGjCldDbRXbNPY//WjttO1I7HoaiZNPI/7yS1Teeze1l3yGVONkuuYfS9dRR5Oa1Njv+49ETcWgenupWnQb1b/+Be0Xfpruw48YkbeNcnV3KiroOvoYuo4+hrJn/0HVb35J/U9uoevIo/l50yzufaV306FarVtERERka6P50uxJQLW7HwJcDFxe5HhCl5l+NJe+J9q9u+xK57kXsP4nv6Dj3I9Q5s9Rf9b7mXjpxVTeezds3LjF6werqUh0J4cdf2zVKmo/+0kqHn+M9ddcP2IJSMaCuTOYN3saU+qricdgSn0182ZPC3VWpOSee9F+yZdZf/3NdE+s5cCrvsJH7ruePVc+C6nNk8GNVB+KiIiIjAWj9k4IcDhwF4C7LzWz2UWOJxIDTT+asw4hHqdn/9n07D8b2tupfORhKh58gJqrv0PPzFl0HXkU3QcfRmuC0GoqACoevJ8JV3+HzlNPJ7FgYShT3kaxunt/UlOn8vop7+fLb76Nma88yYnLfsexT/2Rx3Y7gCd2nklLG2NiKmURERGRkRBKEmJmeV/idveHCmymHmjNep40s3J378l1cGPjBMrLx0aB8IXvewedXT20rE/QWF9FRVmcm+54hqVPv8HqdR00Tarh4H2255wT96asLPtkvw52Pg3edxq0tVH50ENMuOceuPYqGvd/B3PXTuaRhhl0VNZs0d7USTVM32UK1ZUF/LisXQvXXANPPAHXXUPlXnsN74vvo6mpLuf2aSPaSn7qGmponFrP42Wz+euu+7PXymfZ/+W/ceKyO3n9bc3sflQllUcfBdXVobTfX1+MR+qLzdQXIiJSisK6E/IAwcKEMbZcoDAz92r2tkIzg/VA9l/XeH8JCEBLS3uBzZSWpqY6Vq9uA4JvXltrB7fdu3yLWohVLR389uEXae/oGrgO4cAj4MAjiLWtp+KRJRxx2/8xb/FPeWXqzvx9p315ZtpetE6YxN67NNLW2kHbEOKMtbxF9aLbqPzjXXTNP46O73wfJkyA1UN5l4Fl90Wp2G/6FO59/DVSsTjPTNubZ6btTVV3gjOr3yD569vpuuwyug86hK6j5wd3p8pGJjEuxb4oFvXFZkPpCyUrIiISpbCSkJ2yHh9HULPx/4ClQBdwAHAVcMUw2lgCnAj83MwOBp4axnuNWiOxPkaqrp6uY49nh/nH8qs/PM2GxQ+x2/JlnPDkH1hbO5mXl+/HXW+8k/kfmEdZ+cA/MmUvPE/lH35P5eJ76Jo7n/U/+F9STU0Ff32jTab+ZMvhctM4aO6xbIjHib21lsoHFlNz843Ev/nfdB15NF1Hzydpe0AB66OIiIiIjEZhrROyaR5ZM7sE+LC7P5h1yANm9lFgEVDomiK3A/PN7BGCOyzjcoHEkVwfoywe54wT9uPWiip+3LQX8d4ku65+ib1WPkvzDVeSuPVyps6fQ8/+76Bn733pnTKVspdepGzF85SvWE7ZM08T62ina96x4y75yBisLiU1eQqJU04nccrpxF/7J5WL72XiZf8BsRhdc+fRNXcevdN2GqAFERERkdEvisL0bYG1ObYnCOo6CuLuvcAFhb5+rBjp9TES3Un+vmINAL3xMl7YdgYvbDuDO/Y/kels5NI9eqj581Kqb76ReMtbJHfeheSMZpK7N5M47oTgir7Ww8hrte7eaTvR+cGz6TzzLMr8OSrvu4e6T32c3m22pWveMXQdOZdU4+SIIhYRERGJThRJyEPAVWb2wcwdEjObDlwD3B1B+2NO31mw8l0fI59VvAe6s/JSbCJvzjmYbU46OdjQ26uEYyTEYiT32JOOPfak44KPUf63x6m87x7qf3QTyT33ChadPPSdQU2NiIiIyBgQRRLyUYJk4xUzW0MwdGoqsAz4WATtjxnJ3l5u+M1TLHly5RarcZ925G5A3zqEqZvqE4ayiveQ7qwoARl5ZWX0HHAQPQccBB0dVDy6hMrF9wRTKh94MF1Hz6d79oEwSG2OiIiISCkL/UzG3V81s32B+cDeBDNjPQHcnx5SJXkabEXz/uoQhrISeqQrj49h+dx1GlRNDd1z59E9dx6x1nVUPHg/VT/9MRO+9T90zTmSrrnzSe69jwraRYbAzOLAtcBMgmHB57r7ihzHXQ+85e4XRxyiiMi4EMnlVHfvMbO/AR3An4E6JSBDk+8sWH3rEAqZPSv3DE9TQ115fKwYyl2noUg1TKLr3SfT9e6Tib/5RlDQfuW3oCtB11Hz4PSToG78TQQgUoCTgGp3PyQ9s+LlwHuyDzCzjwD7Ag/meL2IiIyA0JMQM6siuOp0NtALNAOXm1k9cIq7tw70egkUOgtWIa8r5srjo91Q7joVqne77elceCad7/sAZS+soPK+P8LHPsakVashXgZlZaTi8WANkngZxGOkysrSz+OkKqugpoZUdQ2p6mpSE2qgOut5Tc2W+2smQE118LymhlTV5mNGap0TkQgdDtwF4O5LzWx29k4zOxQ4CPgBsMdgbzbchXBLcX0WxZQfxZQfxZS/UowrzJiiuBPyFYJ1QQ4H/pje9g2CqXm/CXwkghhGvUJnwRrO7Fn5zPAkm43Emi1DEouRnLE7HTN2p/aLn2fdGy3BZAHJJLHe5KbHJHuhtzfY1tMDXV3EOjqIJTqD/zs7oKOTWGcHsY4O4m3rYdWqTc/JHNfRQayzk1hHO3QGx1NWvilxSdVMIFVfT6phEqmGBnrrG0hNmkTvpEnBtkmT6K0P9lFZOXL9IDI09UD2xa+kmZWn79hvT/A362TgjHzebDgL4ZbiwpqKKT+KKT+KKX+lGNdIxDRQEhNFEnIGwZjbR8wsBZuuPp1HsE6IkpA8FFqroRqP6Izkmi1DFotBRcWmp6kch+TaNiypFHR3E+toJ9bZCe3txNvWE1u3jljrOuLr1hFfuZLyZ/+R3tZCfN06YutbSVVWkUonJ72TGoOkJTtZaQi2BY8nQXX1SEcv49d6IPuvYtzde9KPTyeYOOX3wHbABDN7zt1vjjZEEZGxL4okZAfglRzb/wU0RND+mLFg7gwm1FSy5MnXh1SrMRI1HiNSaB2BYsY50mu2lLxYDCorSVVWkkr/JudV6JVKEdvQRqy1ldi6dcRb1236P75mDbEXng+SlUwy09oK8fimJKW3oSErWZlEKpPENEwiVV8PFTtAEg0Vk/4sAU4Efp6uCXkqs8Pdvwt8F8DMzgL2UAIiIhKOKJKQZQSFgFemn2cuyJ4PPBlB+2NGWTzOeSfty/EH7jSkE+3h1HiEVWg90kohTt11ylMsRqqunlRdPUzbieRgx6dS0NGxRbKyOUFZR+zVVzbdeYlt2ACdG5m0rjWoYZk4EWomBMPFJkwIhoylH1NTQ2rCxPTziZuGlFFdRaqsPJgGObu+pqwMystJxcugPF17U1Gp9VtGn9uB+Wb2CMGU8Web2UKg1t2vL25oIiLjRxRJyMXAXekrThXAxWa2J0Hh3wkRtD/mFFqrUcjroii0HgmlEqdmFgtBLAYTJtA7YQJsv8OgSUtTUx3r/tVKrH0jsY0bob09XdPSTqy9Pfi/o2PT9nhLyxb7SCSIJZPpepoeSPb2eZ4k1tMDvb2kampYf9OPVeMyiqRnZrygz+bnchx3cyQBiYiMU1GsE/KwmR0GfBpYQVCk/gzw7+7+dNjtS+EiL7QuUCnFqZnFSkQ8Tqq2jlRt6c00IiIiItGtE/IEcGb2NjOrMLMj3P2hKGKQoSu00DrquoyiFoT3QzOLiYiIiPQvinVCksDX3f1rfXZNBu4HdJm4RA1caF21VaF1seoyxl1BuIiIiMgoF0XFbgy4yMx+YWY1OfZJiaqqKGNCdUXOfROqK7a6y5Gpy1i7PkGKzXUZixavCD3OWc25VwtXQbiIiIhI6YkiCUkBxwB7AkvMbFqffTJMie4kq1raSXQPOs/QkN93Y0dXzn0bO7q3aG+wuoy+x+aKdzhfx4K5M5g3expT6quJx2BKfTXzZk9TQbiIiIhICYqiJiQGvAQcTLA44eNmdgqwPIK2x7Swhz+1bkjQ0pY7CVm3IbFFrUU+dRlTGqpzxnvakbvxywdeHNbXoYJwERERkdEjiiQks0r6BjN7F3AFsJhgtiwZhrCnpR1KrUU+x/YXr7+6jn+u2jAiX4cKwkVERERKX1Q1IQC4e8rdPwV8giAZkQINZfhToYZSazHYsUFcueNduXpDzu0j9XWIiIiISGmJIgk5G2jN3uDuNwDHArdE0P6YlM/wp5EwlFqLgY4dKN7efiqDRvLrEBEREZHSEcpwLDPbwd1fTz+9B5hiZn0PWw58MYz2x4OopqUdSq3FQMcOFG88ljsR0fS6IiIiImNTWHdC/mlm26Qfvwb8M8e/zHYpQNTT0mZqLfJ531zHDhTvjk21Obdrel0RERGRsSmswvS5wFtZjzUVbwgyQ6KWLV9DS1snjXXVzGqeWrLT0vYX7+bZsUbH1yEiIiIiwxNKEuLuD2Y9fiCMNqR409ImupMFtTdQvJpeV0RERGT8CKsm5KZ8j3X3c8KIYSzrmwRENS3tSK1L0l+8YXwdhSZMIiIiIhKesIZj7ZT1uAw4ElgJ/A3oAmYBOwO3h9T+mJTs7eWG3zzFkidXhrI44WDCXpdkJIW9kKOIiIiIFC6s4VjzM4/N7HLgFeB8d+9Ob4sB1wATw2h/rCpmEjDYuiSnzpleUncaRlPCJCIiIjLeRHFJ+FzgfzIJCASLFgJXAadF0P6YEMXihAOJal2SkVDsvpKBJbqTrGpp1/dBRERkHAtrOFa2jcBegPfZfiCbZ9CSQeSTBIRZFxLVuiQjodh9JblpiJyIiIhkRJGE3ADcaGZ7EtSExIBDgQuBr0XQ/phQ7CQgs85H9hCnjFJbz6PYfSW5aYiciIiIZERx+fGrwJXAJ4DfA3cCZwGXuvvlEbQ/JkS9OGEuC+bOYN7saUypryYegyn11cybPa3k1vMohb6SLWmInIiIiGSL4k7I+cAP3P0/zGwqkHL3tRG0O+YsmDuDCTWVLHny9aIs6lesdUkKMdoWchzrNEROREREskWRhPwPcD+wyt3XRNDemFUWj3PeSfty/IE7FTUJiGpdkuEYTQnTeKAhciIiIpItiuFYy4D5gx4lecskATqpHpz6qjRoiJyIiIhki+JOyCrgu2b2BeBFoCN7p7sfE0EMIlJkGiInIiIiGVEkIR3ALRG0IyIlTEPkREREJCP0JMTdzw67DREZPUZDTZGIiIiEK4o7IZjZfsC+QOayZwyoAg5w9/OG8b4nA6e7+8LhRykio1miO0nrhgR1DTXFDkVEREQGEXoSYmafAb4J9BIkHymCgvgu4N5hvO9VwLHAEyMQpsi4kDlRH0tDofquxN7UWMN+06doJXYREZESFsWdkI8BXwf+E3gN2B+oA34KXD2M930E+A3wkXwObmycQHn52DjpamqqK3YIJUN9sdlAfZFM9nLTHc+w9Ok3WL2ug6ZJNRy8z/acc+LelJWN7hP1G37z1BYrsa9q6eDex19jQk0l5520bxEjKw36HRERkVIURRKyI3CLu/eY2RPAQe5+u5l9liAxuXugF5vZh4FP9dl8trsvMrMj8w2ipaV9iGGXpqamOlavbit2GCVBfbHZYH1x273LtzpR/+3DL9Le0cXCec1RhBiKRHeSJU+uzLlvyZOvc/yBO42ZOz6FGMrviJIVERGJUhRJSCtQnX78PLAPcHv68czBXuzuNwI3hhadyBiX6E6ybPnqnPuWLV/DqXOmj9oTda3ELiIiMjpFMQ7jAeAyM9seeAw4zcwagHcDWkFdJGT5nKiPhER3klUt7SS6kyPyfvnIrMSei1ZiFxERKV1R3An5DHAH8F7ge8BFwFvpfZ+NoH2RcS1zor42RyIyEifqfQvDJ9dXMau5KZLC8MxK7NlDzTK0EruIiEjpimKdkFeA/cys2t27zOxw4DjgVXf/yzDf+wGCOy0i0o+wT9QXLV6xxXuvXZ/Y9DyKepO+K7FPnbR5diwREREpTZGsEwLg7p3p/zcCv4qqXYnOWJz+dazoe6LeWFfNrOapwz5RL4V6k74rsU/fZQptrR2htikiIiLDE0oSYma9BOuBDMrddbY6yhVzOI7kp++J+kgliqVUGJ5Zib26spw2lBSLiIiUsrDuhHyQzUnIrsDFBPUgSwkWKTwA+ARwWUjtS4SKPRxH8pc5UR8pYdebFCKZ7OW2e5crKRYRESlhoSQh7v7jzGMzWwJ81N1vzTrkTjP7B3AJ8O0wYpBolMJwHCmeUiwMv+mOZ5QUS7/MLA5cSzBFfAI4191XZO1/H/BJoAd4Cvh3d+8tRqwiImNZFJcFZxHcAenrSUBnBKNcVNO/SulaMHcG82ZPY0p9NfEYTKmvZt7saUUpDE90J1n69Bs59y1bvibS6YOlZJ0EVLv7IQR36S/P7DCzGoJFdI9y98OABuBdRYlSRGSMi6Iw/R/ARwmm5gU2XYn6DPBEBO1LiEpxOI5EK6x6k0K0bkiwel3uonQtXihphwN3Abj7UjObnbUvARzq7u3p5+VAZ8TxiYiMC1EkIZ8jGH51ArAMiBHUhEwG5kXQvoSoFIfjSHGMdL1JIRpqq2iaVMOqlq0TESXFklYPtGY9T5pZubv3pIdd/QvAzD4B1AL3DPRmjY0TKC8v/HOuqamu4NeGRTHlRzHlRzHlrxTjCjOmKNYJWWxm+wLnAXsTFKz/BPiBu2995iqjTljTv4oMVVVFGQfvsz2/ffjFrfYpKZa09UD2X9W4u/dknqTv1H+TYLjwqe4+4EyPLS3tA+0eUFNTHatXtxX8+jAopvwopvwopvyVYlwjEdNASUwk64Ski/4+H0VbEr1SGo4jcs6Je9Pe0aWkWPqzBDgR+LmZHUxQfJ7tBwTDsk5SQbqISHhCT0LMbCJwIXAIUEkwHGsTdz8m7BgkGqUwHEekrExJsQzodmC+mT1C8PfobDNbSDD06nHgw8DDwGIzA7jK3W8vVrAiImNVFHdCrgfeTTCudk0E7YmIKCmWnNJ3Ny7os/m5rMdaTEZEJAJRJCHvBk5397siaEtEREREREpcFFd8EsCKQY8SEREREZFxIYok5CfAhWYWG/RIESlIZ1cPq1ratRifiIiIjApRDMeaCHwAONnMXiC4M7KJCtNFCpfs7WXR4hX8/YW1rG7pYHJ9FbOam1gwdwZlcQ1tFxERkdIURRJSBvw0gnZExp1Fi1dssVDk2vWJTc8XzmsuVlgiIiIiA4piscKzw25DZDxKdCdZtnx1zn3Llq/h1DnTNTWtiIiIlKRIFis0s/2AfQnuikAwN3sVcIC7nxdFDCJjTeuGBG+tT+Tc19LWSeuGhKaoFRERkZIUxWKFnwG+CfQSJB8pgoL4LuDesNsXGasaaquYXF/F2hyJSGNdNQ21VUWISkRERGRwUVSufgz4OlANrAbeBuwJ/AO4OoL2RcakqooyZjU35dw3q3mqhmKJiIhIyYoiCdkRuMXde4AngIPc3YHPAl+NoH2RMWvB3BnMmz2NbRpriMdgSn0182ZPY8HcGcUOTURERKRfUdSEtBLcBQF4HtgHuD39eGYE7csgEt1JWjckaKit0tXzUaYsHmfhvGY+cmoNL7y8Vt9DERERGRWiSEIeAC4zswuAx4DPmNl3gXcDayJoX/qRWWNi2fLVvLU+oTUmRrHqynIVoYuIiMioEcWZ5meBXYH3AosICtTfAq5K/5MiyawxsXZ9ghSb15hYtHhFsUMTERERkTEs9CTE3V929/2A69y9CzgcOB042N0vD7t9yW2wNSYS3cmIIxIRERGR8SL0JMTMXjSzye7eCeDuG93918BrZrYq7PYlt3zWmBARERERCUMoNSFm9m/A7PTTXYCLzWxDn8Oaw2pfBqc1JkRERESkWMJKAl4CvkOwOCHAaUD2+J4U0AZ8IqT2ZRCZNSbuffy1rfbls8aEZtQSERERkUKFkoS4+7MEdzows/uBU9y9JYy2pHCZtSSWLV9DS1snjXXVzGqeOuAaE5pRS0RERESGK/ThUO5+VOaxmZUD+wH/cveVYbctA8usMXHqnOl539XIzKiVkZlRC2DhvOZQ4xURERGRsSG0S9dmdqaZPW5mb0s/3wtYAfwFeMXMfmhmGsdTAqoqytimcUJeQ7A0o5aIiIiIDFcoSYiZnQHcDDwNbExvvhWoB44DDgMOBT4ZRvsSDs2oJSIiIiIjIaw7If8PuNTdz3L3tWY2E5gFXO3u97j7n4EvAWeH1L6EIDOjVi6aUUtERERE8hVWErIf8Ous5/MIZsS6I2vb34HpIbUvIcjMqJVLPjNqiYiIiIhAeIXpcaAr6/kRQCvw16xtVUBnSO1LSAqZUUtEREREJFtYScgzBHUfL5pZPXA08Dt3T2UdczJBzYiMIoXMqCUiIiIiki2sJOR7wNVmth9BMlJDsHghZjYJOB24BPhoIW9uZg3AjwkK3SuBi9z90RGIW/KUmVFLRERERGSoQqkJcfdbgM8BRwFlwAJ3X5re/V/ANcAV6eMKcRFwn7vPAc4iSHpERERERGQUCG2xQne/Hrg+x67LgC+7+9phvP2VQGY+2HLyqC0hDA9sAAANd0lEQVRpbJxAefnYGDbU1FRX7BBKhvpiM/XFZuqLzdQXIiJSikJfMb0vd39t8KM2M7MPA5/qs/lsd/+LmW1HMCxr0PVGWlrah9JsyWpqqmP16rZih1ES1BebqS82U19sNpS+ULIiIiJRijwJGSp3vxG4se92M9sX+BnwGXd/MPLARERERESkICWfhORiZnsBvyCoNXmy2PGIiIiIiEj+RmUSQlBXUg1cZWYAre7+nuKGJCIiIiIi+RiVSYgSDhERERGR0SuUKXpFRERERET6oyREREREREQipSREREREREQipSRklEt0J1nV0k6iO1nsUERERERE8jIqC9MFkr29LFq8gmXLV/PW+gST66uY1dzEgrkzKIsrtxQRERGR0qUkZJRatHgF9z6+efH5tesTm54vnNdcrLBEREqamcWBa4GZQAI4191XZO0/Efgy0APc5O43FCVQEZExTpfMR6FEd5Jly1fn3Lds+RoNzRIR6d9JQLW7HwJcDFye2WFmFcCVwDHAHOB8M9u2KFGKiIxxuhMyCrVuSPDW+kTOfS1tnbRuSLBN44SIoxIRGRUOB+4CcPelZjY7a9+ewAp3bwEwsz8BRwC/6O/NGhsnUF5eVnAwTU11Bb82LIopP4opP4opf6UYV5gxKQkZhRpqq5hcX8XaHIlIY101DbVVRYhKRGRUqAdas54nzazc3Xty7GsDGgZ6s5aW9oIDaWqqY/XqtoJfHwbFlB/FlB/FlL9SjGskYhooidFwrFGoqqKMWc1NOffNap5KVUXhV+VERMa49UD2X8V4OgHJta8OWBdVYCIi44nuhIxSC+bOAIIakJa2ThrrqpnVPHXTdhERyWkJcCLwczM7GHgqa9+zwO5mNhnYQDAU69vRhygiMvYpCRmlyuJxFs5r5tQ502ndkKChtkp3QEREBnc7MN/MHgFiwNlmthCodffrzewi4G6CkQI3ufvKIsYqIjJmKQkZ5aoqylSELiKSJ3fvBS7os/m5rP13AHdEGpSIyDikmhAREREREYmUkhAREREREYmUkhAREREREYmUkhAREREREYlULJVKFTsGEREREREZR3QnREREREREIqUkREREREREIqUkREREREREIqUkREREREREIqUkREREREREIqUkREREREREIqUkREREREREIlVe7ABkMzOLA9cCM4EEcK67r8jafyLwZaAHuMndbzCzCuAmYBegCvhPd/9t1LGPtEL6ImvfNsBfgfnu/lykgYeg0L4ws0uAdwMVwDXufnPEoY+4An9H4sAPAQN6gfNG+8/FYP2QPmYCcA/wYXd/Lp/XyMgbzmdZiDEN+HfDzD4FnAusTm/6iLt7BHH9DViffvqSu5+dtS/yfkq3exZwVvppNfB2YDt3X5feH1lfmdlBwDfc/UgzmwHcDKSAp4GPuXtv1rGR/b73ievtwNVAMt3uB939X32O7/f7HFJMs4DfAc+nd1/n7ouyjo2kr/rE9DNgu/SuXYCl7v7ePseH1k+5PgOAfxDxz5TuhJSWk4Bqdz8EuBi4PLMj/QNzJXAMMAc438y2BT4ArHX3dwLHAddEHnU4CumLzL4fAB2RRxyeIfeFmR0JHAocBhwJ7BZxzGEp5OfiGKDW3Q8Dvg78V+RRj7x++wHAzGYDDwHT832NhKagz7KQDfZ34x0EJ49Hpv9FkYBUA7GsNrMTkGL1E+5+cyYmgotb/y+TgKRF0ldm9jmCiynV6U1XAF9Kfw9jwHv6vCSS3/cccV0FfCLdX78GPt/n+H6/zyHG9A7giqw2F/V5Seh91Tcmd39vuo9OBtYBn+pzfNj9lOszIPKfKSUhpeVw4C4Ad18KzM7atyewwt1b3L0L+BNwBPAL4NL0MTGCq0RjQSF9AfBt4PvA6xHGGrZC+uJY4CngduAOYNTfHUsrpC86gYb0VZx6oDvakEMxUD9AcGXrZOC5IbxGwlHoZ1mYBvu78Q7gEjP7U/qOahRmAhPM7I9mttjMDs7aV6x+2iSd2O/t7tf32RVVX70AnNKn3QfTj/8AzOtzfFS/733jeq+7P5F+XE7w+ZttoO9zWDG9AzjBzB4ysxvNrK7P8VH0Vd+YMr4GXO3ub/TZHnY/5foMiPxnSklIaakHWrOeJ82svJ99bUCDu29w97b0L9UvgS9FE2rohtwX6dvmq9397mhCjMyQ+wKYSvABcTpwAfATM4tFEGvYCumLPxFcfXoOuAH4bgRxhm2gfsDdl7j7P4fyGglNIT+zocrj78bPCD435gKHm9m7wo4JaCe4iHQsmz+zitpPfXyB4ISxr0j6yt1/xZYXUGLunko/ztUfkfy+940rczJtZocCHye4g5VtoO9zKDEBjwGfdfcjgBeBr/R5Seh9lSOmzNDxowmGQPUVaj/18xkQ+c+UkpDSsh7IztDj7t7Tz746glt4mNlOwP3Are5+WxSBRqCQvjgHmG9mDxCM273FzLZj9CukL9YCd7t7V3p4QCfQFEWwISukLz4HPOLuzQRXl36UvtU9mg3UDyP5Ghm+gj7Xw9bf3430xYrvuPua9F2HO4FZEYS0HPixu6fcfTnBZ9j26X1F6ycAM5sEmLvf32d7sfoKgvq2jFz9UbTfdzNbQDAi4QR3X91n90Df57Dc7u5/zTxm6+9RsfrqNOA2d0/m2Bd6P+X4DIj8Z0pJSGlZAvwbQPrW21NZ+54FdjezyWZWSXAr+tH0uNg/Ap9395uiDjhEQ+4Ldz/C3eekx1k+QTBO982I4w7DkPuC4Or/cWYWM7MdgIkEH2KjXSF9UcvmqzdvERTql0UWcTgG6oeRfI0MXyE/s6Ea5O9GPfCUmdWmT7LnEtRChO1s0mPM059Z9UBmiEpR+inLEcB9ObYXq68AlqVr/wCOBx7us78ov+9m9gGCOyBHuvuLOQ4Z6PsclrvM7MD046PZ+ntUrM/GeQTDnnIJtZ/6+QyI/GdKt+JLy+0EV/IfIRijd7aZLSQoqr3ezC4C7iZIHm9y95VmdhXQCFxqZpnxfce7+2gvzB5yXxQx1rAV0hcrzewIgtvQcYJZLnJdbRltCvkd+Rbwv2b2J4IE5AvuvrFYX8AIGbAf8n1NNKGOe6X4WfYFtv67cQMwMR3TxQRXSBPAfe7++whiupHg9zRz4nMOcIaZlcJnvhEM4wmebPn9K0ZfAXwauCGdlD1LMKQGM7uFYGhN5L/vZlZGMNz1VeDXZgbwoLt/JSuurb7PEdx1uAD4npl1A28C56fjLVpfpW3xc9UnprD7KddnwIXAd6P8mYqlUqnBjxIRERERERkhGo4lIiIiIiKRUhIiIiIiIiKRUhIiIiIiIiKRUhIiIiIiIiKRUhIiIiIiIiKRUhIi456ZvWxmY2WleREREZGSpyREREREREQipSREREREREQipRXTRQZgZnHgYuAjwFTgH8BX3P33ZlZLsPrqx9395qzXfA+Y6e6Hm1kV8N/AQmAisAz4vLsvTR/7VWAOsBY4BrgauJRgNdMPATsD7cB9wAXuvjr9uoOAK4FZwMvAt4EfAru6+8uDtSsiIiJSTLoTIjKwy4CzgfOBmcCPgF+b2ZHuvgH4FfC+zMFmVg6cAdyS3nQLcER622xgMfCAmTVntXEk8AKwP0EicRFwIfAJYPf0+x8OfDHdxo7APcAz6ddcCnyjT9z5tCsiIiJSFLoTItKP9J2OC4FT3f3u9OZrzGwmcAnwAEFS8kcz28bdVwHHArXAz81sBkESsI+7P5N+/dfM7HDg0wR3VwBSwFfdvSPdrgMfcve70vtfMbO7gH3Tz88H1hDcGUkCz5rZdgR3URhCuyIiIiJFoSREpH97AlXAL8ysN2t7BfCv9OP7gZXA6cD3gPcDv3X3dWY2P33Mn80s+32r0v8y3sgkIADufoeZHWJm/wUYsEc6lofTh+wP/CWdgGT8KevxrDzbFRERESkKJSEi/etK/38KsKLPviSAu6fM7FbgfWZ2M/AegoQk+/WHAB19Xp/IerzFvvR0wRcD/wv8gaC240KC+hCAHgYeSplvuyIiIiJFoSREpH/PA93AtKyhUZjZlwl+d76c3nQLwfCsc4E2IDN0KzMUalt3vzfr9d8DngWu6afdzwNfdvcrsl6zezoWgL8DZ5pZWdbdkIOyXl9ouyIiIiKRUBIiEtjdzI7rs60FuAK4zMzagL8A7wK+Anw4c5C7LzezPwP/AdyQSQzcfYWZLQKuN7OPAcuBc4ALCGbC6s8/gWPN7PdAGfBR4B0EM1wBXEtQ23GtmV0JNKfbBkgNo10RERGRSCgJEQl8MP0v2xKCmau6gG8B2wIvAh/JnpI37UfA99k8K1bGucD/EAytaiC4E3GKu983SCzfI0g61gA3p9/ne2Y2wd3/ZWb/BnwHeJJgqNi1BMlRZihWIe2KiIiIRCKWSqWKHYOIDIGZ7QU0uPujWdveS5Cs1Lp7T7FiExEREcmH7oSIjD47Af9nZh8CHgV2Bb4GLFICIiIiIqOB7oSIjEJm9nGCxQx3Jlht/efAF929vaiBiYiIiORBSYiIiIiIiERqoLUGRERERERERpySEBERERERiZSSEBERERERiZSSEBERERERiZSSEBERERERidT/B3G8dblilkfFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x1152 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(4, 2, figsize=(12, 16)) \n",
    "fig.tight_layout(pad=5)\n",
    "\n",
    "axes[0, 0].hlines(y=0, xmin=np.min(x), xmax=np.max(x), colors='r', linestyle='dashed', lw=1)\n",
    "axes[0, 0].scatter(x, y)\n",
    "axes[0, 0].set_xlabel(\"Fitted values\")\n",
    "axes[0, 0].set_ylabel(\"Residual\")\n",
    "axes[0, 0].set_title(\"Residuals vs. Fits Plot\")\n",
    "\n",
    "axes[0, 1].hlines(y=0, xmin=np.min(x1), xmax=np.max(x1), colors='r', linestyle='dashed', lw=1)\n",
    "axes[0, 1].scatter(x1, y)\n",
    "axes[0, 1].set_xlabel(\"alcohol\")\n",
    "axes[0, 1].set_ylabel(\"Residual\")\n",
    "axes[0, 1].set_title(\"Residuals vs. Predictor Plot\")\n",
    "\n",
    "sns.residplot(x, y, lowess=True, color=\"g\", ax=axes[1, 0])\n",
    "axes[1, 0].set_xlabel(\"Fitted values\")\n",
    "axes[1, 0].set_ylabel(\"Residual\")\n",
    "axes[1, 0].set_title(\"seaborn.residplot\")\n",
    "\n",
    "sm.qqplot(data=y, dist=stats.norm, loc=0, scale=1, ax=axes[1, 1])\n",
    "axes[1, 1].set_title(\"Normal QQ Plot(sm.qqplot)\")\n",
    "\n",
    "# LOWESS (locally weighted scatterplot smoothing)\n",
    "sns.regplot(x, y1, \n",
    "            scatter=False, \n",
    "            ci=False, \n",
    "            lowess=True,\n",
    "            line_kws={'color': 'red', 'lw': 1, 'alpha': 0.8}, ax=axes[2, 0])\n",
    "axes[2, 0].scatter(x, y1)\n",
    "axes[2, 0].set_xlabel(\"Fitted values\")\n",
    "axes[2, 0].set_ylabel(\"$\\sqrt{|Standardized Residuals|}$\")\n",
    "axes[2, 0].set_title(\"Scale-Location Plot\")\n",
    "\n",
    "sns.regplot(x, z_e1, \n",
    "            scatter=True, \n",
    "            ci=False, \n",
    "            lowess=True,\n",
    "            line_kws={'color': 'green', 'lw': 1, 'alpha': 0.8}, ax=axes[2, 1])\n",
    "# axes[2, 1].scatter(x, z_e1)\n",
    "axes[2, 1].set_xlabel(\"Fitted values\")\n",
    "axes[2, 1].set_ylabel(\"Standardized Residuals\")\n",
    "axes[2, 1].set_title(\"Scale-Location Plot\")\n",
    "\n",
    "# 没有太高的杠杆率\n",
    "sns.regplot(model_leverage, z_e2, \n",
    "            scatter=False, \n",
    "            ci=False, \n",
    "            lowess=True,\n",
    "            line_kws={'color': 'red', 'lw': 1, 'alpha': 0.8}, ax=axes[3, 0])\n",
    "axes[3, 0].scatter(model_leverage, z_e2) # z_e1\n",
    "axes[3, 0].set_xlabel(\"Leverage\")\n",
    "axes[3, 0].set_ylabel(\"Standardized Residuals\")\n",
    "axes[3, 0].set_title(\"Residuals vs Leverage\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
